123955904772000 has 4608 divisors, whose sum is σ = 585533785374720. Its totient is φ = 25099957555200.

The previous prime is 123955904771983. The next prime is 123955904772059. The reversal of 123955904772000 is 277409559321.

123955904772000 is a `hidden beast` number, since 1 + 2 + 3 + 9 + 5 + 590 + 47 + 7 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 139747355557 + ... + 139747356443.

It is an arithmetic number, because the mean of its divisors is an integer number (127068963840).

Almost surely, 2^{123955904772000} is an apocalyptic number.

123955904772000 is a gapful number since it is divisible by the number (10) 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 123955904772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292766892687360).

123955904772000 is an abundant number, since it is smaller than the sum of its proper divisors (461577880602720).

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

123955904772000 is a wasteful number, since it uses less digits than its factorization.

123955904772000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 123955904772000 in words is "one hundred twenty-three trillion, nine hundred fifty-five billion, nine hundred four million, seven hundred seventy-two thousand".