123123010032000 has 384 divisors, whose sum is σ = 482362380508320. Its totient is φ = 29848002048000.

The previous prime is 123123010031939. The next prime is 123123010032019. The reversal of 123123010032000 is 230010321321.

123123010032000 is a `hidden beast` number, since 1 + 2 + 312 + 30 + 1 + 0 + 0 + 320 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37280587 + ... + 40448586.

Almost surely, 2^{123123010032000} is an apocalyptic number.

123123010032000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123123010032000 is an abundant number, since it is smaller than the sum of its proper divisors (359239370476320).

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

123123010032000 is a wasteful number, since it uses less digits than its factorization.

123123010032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77729219 (or 77729194 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 123123010032000 its reverse (230010321321), we get a palindrome (123353020353321).

The spelling of 123123010032000 in words is "one hundred twenty-three trillion, one hundred twenty-three billion, ten million, thirty-two thousand".