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2121012110112 = 25374597686593
BaseRepresentation
bin11110110111010110001…
…011000110001100100000
321111202200222110222112020
4132313112023012030200
5234222313100010422
64302213550301440
7306144441316560
oct36672613061440
97452628428466
102121012110112
11748575050245
122a30967b7880
1312501a338a5c
147492c3b6da0
153a28bc5795c
hex1edd62c6320

2121012110112 has 96 divisors (see below), whose sum is σ = 6364429771392. Its totient is φ = 605870751744.

The previous prime is 2121012110111. The next prime is 2121012110117. The reversal of 2121012110112 is 2110112101212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2121012110091 and 2121012110100.

It is not an unprimeable number, because it can be changed into a prime (2121012110111) 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, 2745888 + ... + 3432480.

It is an arithmetic number, because the mean of its divisors is an integer number (66296143452).

Almost surely, 22121012110112 is an apocalyptic number.

It is an amenable number.

2121012110112 is an abundant number, since it is smaller than the sum of its proper divisors (4243417661280).

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

2121012110112 is a wasteful number, since it uses less digits than its factorization.

2121012110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691210 (or 691202 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2121012110112 its reverse (2110112101212), we get a palindrome (4231124211324).

The spelling of 2121012110112 in words is "two trillion, one hundred twenty-one billion, twelve million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 4597 9194 13791 18388 27582 32179 36776 55164 64358 73552 96537 110328 128716 147104 193074 220656 257432 386148 441312 514864 686593 772296 1029728 1373186 1544592 2059779 2746372 3089184 4119558 4806151 5492744 8239116 9612302 10985488 14418453 16478232 19224604 21970976 28836906 32956464 38449208 57673812 65912928 76898416 115347624 153796832 230695248 461390496 3156268021 6312536042 9468804063 12625072084 18937608126 22093876147 25250144168 37875216252 44187752294 50500288336 66281628441 75750432504 88375504588 101000576672 132563256882 151500865008 176751009176 265126513764 303001730016 353502018352 530253027528 707004036704 1060506055056 2121012110112