123956352 has 256 divisors, whose sum is σ = 411264000. Its totient is φ = 36495360.

The previous prime is 123956341. The next prime is 123956359. The reversal of 123956352 is 253659321.

123956352 is a `hidden beast` number, since 12 + 3 + 9 + 5 + 635 + 2 = 666.

It is a super-2 number, since 2×123956352² = 30730354402295808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123956359) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1392724 + ... + 1392812.

It is an arithmetic number, because the mean of its divisors is an integer number (1606500).

Almost surely, 2^123956352 is an apocalyptic number.

123956352 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 123956352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205632000).

123956352 is an abundant number, since it is smaller than the sum of its proper divisors (287307648).

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

123956352 is a wasteful number, since it uses less digits than its factorization.

123956352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 138 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 123956352 is about 11133.5687001069. The cubic root of 123956352 is about 498.6045785542.

The spelling of 123956352 in words is "one hundred twenty-three million, nine hundred fifty-six thousand, three hundred fifty-two".