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121032210013020 = 2232511328012124403
BaseRepresentation
bin11011100001010000000001…
…111000100101101101011100
3120212112120021211000122201200
4123201100001320211231130
5111330442431230404040
61105225232451435500
734331200664423535
oct3341200170455534
9525476254018650
10121032210013020
1135623521281679
12116a8a2a2b5b90
13526c3998b66c7
1421c5dc124768c
15ded4d3a3e630
hex6e1401e25b5c

121032210013020 has 144 divisors (see below), whose sum is σ = 370512390017952. Its totient is φ = 31978198425600.

The previous prime is 121032210012991. The next prime is 121032210013037. The reversal of 121032210013020 is 20310012230121.

121032210013020 is a `hidden beast` number, since 1 + 210 + 322 + 1 + 0 + 0 + 130 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121032210012984 and 121032210013002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55910139 + ... + 58034541.

It is an arithmetic number, because the mean of its divisors is an integer number (2573002708458).

Almost surely, 2121032210013020 is an apocalyptic number.

121032210013020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121032210013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185256195008976).

121032210013020 is an abundant number, since it is smaller than the sum of its proper divisors (249480180004932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121032210013020 is a wasteful number, since it uses less digits than its factorization.

121032210013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127332 (or 2127327 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121032210013020 its reverse (20310012230121), we get a palindrome (141342222243141).

The spelling of 121032210013020 in words is "one hundred twenty-one trillion, thirty-two billion, two hundred ten million, thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 452 565 678 1017 1130 1356 1695 2034 2260 2801 3390 4068 5085 5602 6780 8403 10170 11204 14005 16806 20340 25209 28010 33612 42015 50418 56020 84030 100836 126045 168060 252090 316513 504180 633026 949539 1266052 1582565 1899078 2124403 2848617 3165130 3798156 4248806 4747695 5697234 6330260 6373209 8497612 9495390 10622015 11394468 12746418 14243085 18990780 19119627 21244030 25492836 28486170 31866045 38239254 42488060 56972340 63732090 76478508 95598135 127464180 191196270 240057539 382392540 480115078 720172617 960230156 1200287695 1440345234 2160517851 2400575390 2880690468 3600863085 4321035702 4801150780 5950452803 7201726170 8642071404 10802589255 11900905606 14403452340 17851358409 21605178510 23801811212 29752264015 35702716818 43210357020 53554075227 59504528030 71405433636 89256792045 107108150454 119009056060 178513584090 214216300908 267770376135 357027168180 535540752270 672401166739 1071081504540 1344802333478 2017203500217 2689604666956 3362005833695 4034407000434 6051610500651 6724011667390 8068814000868 10086017501085 12103221001302 13448023334780 20172035002170 24206442002604 30258052503255 40344070004340 60516105006510 121032210013020