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12102120121 = 713593224267
BaseRepresentation
bin10110100010101011…
…11011001010111001
31011020102021101211011
423101111323022321
5144241120320441
65320514233521
7605621216020
oct132125731271
934212241734
1012102120121
115150370a73
122418b858a1
1311ab36b330
1482b4018b7
154ac6e3581
hex2d157b2b9

12102120121 has 16 divisors (see below), whose sum is σ = 14920101504. Its totient is φ = 9559113984.

The previous prime is 12102120113. The next prime is 12102120127.

12102120121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12102120121 - 23 = 12102120113 is a prime.

It is a super-2 number, since 2×121021201212 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (12102120127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58171 + ... + 166096.

It is an arithmetic number, because the mean of its divisors is an integer number (932506344).

Almost surely, 212102120121 is an apocalyptic number.

It is an amenable number.

12102120121 is a deficient number, since it is larger than the sum of its proper divisors (2817981383).

12102120121 is a wasteful number, since it uses less digits than its factorization.

12102120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224880.

The product of its (nonzero) digits is 16, while the sum is 13.

The spelling of 12102120121 in words is "twelve billion, one hundred two million, one hundred twenty thousand, one hundred twenty-one".

Divisors: 1 7 13 91 593 4151 7709 53963 224267 1569869 2915471 20408297 132990331 930932317 1728874303 12102120121