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120121120112000 = 275371072510001
BaseRepresentation
bin11011010011111111100000…
…101100011011110110000000
3120202022110121101122020020112
4123103333200230123312000
5111221031023222041000
61103250514125130452
734205315223146210
oct3323774054336600
9522273541566215
10120121120112000
1135302098830027
12115803400b9a28
1352044b06b70b7
142193c7106c240
15dd495cb16235
hex6d3fe0b1bd80

120121120112000 has 128 divisors (see below), whose sum is σ = 341315583036480. Its totient is φ = 41184384000000.

The previous prime is 120121120111997. The next prime is 120121120112003. The reversal of 120121120112000 is 211021121021.

It is an interprime number because it is at equal distance from previous prime (120121120111997) and next prime (120121120112003).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120121120112003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 536143001 + ... + 536367000.

Almost surely, 2120121120112000 is an apocalyptic number.

120121120112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120121120112000 is an abundant number, since it is smaller than the sum of its proper divisors (221194462924480).

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

120121120112000 is an equidigital number, since it uses as much as digits as its factorization.

120121120112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072510037 (or 1072510015 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 120121120112000 its reverse (211021121021), we get a palindrome (120332141233021).

The spelling of 120121120112000 in words is "one hundred twenty trillion, one hundred twenty-one billion, one hundred twenty million, one hundred twelve thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 280 320 350 400 448 500 560 640 700 800 875 896 1000 1120 1400 1600 1750 2000 2240 2800 3200 3500 4000 4480 5600 7000 8000 11200 14000 16000 22400 28000 56000 112000 1072510001 2145020002 4290040004 5362550005 7507570007 8580080008 10725100010 15015140014 17160160016 21450200020 26812750025 30030280028 34320320032 37537850035 42900400040 53625500050 60060560056 68640640064 75075700070 85800800080 107251000100 120121120112 134063750125 137281280128 150151400140 171601600160 187689250175 214502000200 240242240224 268127500250 300302800280 343203200320 375378500350 429004000400 480484480448 536255000500 600605600560 686406400640 750757000700 858008000800 938446250875 960968960896 1072510001000 1201211201120 1501514001400 1716016001600 1876892501750 2145020002000 2402422402240 3003028002800 3432032003200 3753785003500 4290040004000 4804844804480 6006056005600 7507570007000 8580080008000 12012112011200 15015140014000 17160160016000 24024224022400 30030280028000 60060560056000 120121120112000