123952422287232 has 2304 divisors, whose sum is σ = 496075261593600. Its totient is φ = 29506498560000.

The previous prime is 123952422287167. The next prime is 123952422287233. The reversal of 123952422287232 is 232782224259321.

123952422287232 is a `hidden beast` number, since 1 + 2 + 3 + 9 + 524 + 2 + 2 + 2 + 87 + 2 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123952422287233) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 44252916232 + ... + 44252919032.

It is an arithmetic number, because the mean of its divisors is an integer number (215310443400).

Almost surely, 2^{123952422287232} is an apocalyptic number.

123952422287232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123952422287232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248037630796800).

123952422287232 is an abundant number, since it is smaller than the sum of its proper divisors (372122839306368).

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

123952422287232 is a wasteful number, since it uses less digits than its factorization.

123952422287232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918 (or 2874 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 123952422287232 in words is "one hundred twenty-three trillion, nine hundred fifty-two billion, four hundred twenty-two million, two hundred eighty-seven thousand, two hundred thirty-two".