112351505153211 has 24 divisors (see below), whose sum is σ = 166770050567120. Its totient is φ = 72833605759296.

The previous prime is 112351505153159. The next prime is 112351505153219.

112351505153211 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 51 + 50 + 515 + 32 + 11 = 666.

112351505153211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112351505153211 - 2³³ = 112342915218619 is a prime.

It is a super-2 number, since 2×112351505153211² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112351505153219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99079441 + ... + 100206978.

Almost surely, 2^{112351505153211} is an apocalyptic number.

112351505153211 is a deficient number, since it is larger than the sum of its proper divisors (54418545413909).

112351505153211 is a wasteful number, since it uses less digits than its factorization.

112351505153211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199288155 (or 199288152 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

It can be divided in two parts, 11235150 and 5153211, that added together give a palindrome (16388361).

The spelling of 112351505153211 in words is "one hundred twelve trillion, three hundred fifty-one billion, five hundred five million, one hundred fifty-three thousand, two hundred eleven".