123098351288256 has 84 divisors (see below), whose sum is σ = 352841421841272. Its totient is φ = 41032525131264.

The previous prime is 123098351288179. The next prime is 123098351288267. The reversal of 123098351288256 is 652882153890321.

It is a happy number.

123098351288256 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 9 + 8 + 351 + 28 + 8 + 256 = 666.

It is a super-2 number, since 2×123098351288256² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123098351288193 and 123098351288202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105233566 + ... + 106396898.

It is an arithmetic number, because the mean of its divisors is an integer number (4200493117158).

Almost surely, 2^{123098351288256} is an apocalyptic number.

123098351288256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

123098351288256 is an abundant number, since it is smaller than the sum of its proper divisors (229743070553016).

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

123098351288256 is a wasteful number, since it uses less digits than its factorization.

123098351288256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347058 (or 1347045 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 123098351288256 in words is "one hundred twenty-three trillion, ninety-eight billion, three hundred fifty-one million, two hundred eighty-eight thousand, two hundred fifty-six".