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12101202121120 = 255710804644751
BaseRepresentation
bin1011000000011000011111…
…0110101001000110100000
31120211212022120201112012121
42300012013312221012200
53041231230220333440
641423114314434024
72356166032602220
oct260060766510640
946755276645177
1012101202121120
113946100135332
121435364132914
1369a1a52870a8
142db9b6562080
1515eba796434a
hexb0187da91a0

12101202121120 has 48 divisors (see below), whose sum is σ = 32673245730048. Its totient is φ = 4148983584000.

The previous prime is 12101202121103. The next prime is 12101202121121. The reversal of 12101202121120 is 2112120210121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12101202121094 and 12101202121103.

It is not an unprimeable number, because it can be changed into a prime (12101202121121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5402321256 + ... + 5402323495.

It is an arithmetic number, because the mean of its divisors is an integer number (680692619376).

Almost surely, 212101202121120 is an apocalyptic number.

12101202121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101202121120 is an abundant number, since it is smaller than the sum of its proper divisors (20572043608928).

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

12101202121120 is a wasteful number, since it uses less digits than its factorization.

12101202121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10804644773 (or 10804644765 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12101202121120 its reverse (2112120210121), we get a palindrome (14213322331241).

The spelling of 12101202121120 in words is "twelve trillion, one hundred one billion, two hundred two million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 10804644751 21609289502 43218579004 54023223755 75632513257 86437158008 108046447510 151265026514 172874316016 216092895020 302530053028 345748632032 378162566285 432185790040 605060106056 756325132570 864371580080 1210120212112 1512650265140 1728743160160 2420240424224 3025300530280 6050601060560 12101202121120