123221988291600 has 945 divisors, whose sum is σ = 473784301341741. Its totient is φ = 29657090707200.

The previous prime is 123221988291587. The next prime is 123221988291631. The reversal of 123221988291600 is 6192889122321.

The square root of 123221988291600 is 11100540.

It is a perfect power (a square), and thus also a powerful number.

123221988291600 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 2 + 1 + 9 + 8 + 8 + 29 + 1 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44359915784976 + 78862072506624 = 6660324^2 + 8880432^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 886489124331 + ... + 886489124469.

Almost surely, 2^{123221988291600} is an apocalyptic number.

123221988291600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123221988291600 is the 11100540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123221988291600

123221988291600 is an abundant number, since it is smaller than the sum of its proper divisors (350562313050141).

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

123221988291600 is an frugal number, since it uses more digits than its factorization.

123221988291600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 123221988291600 in words is "one hundred twenty-three trillion, two hundred twenty-one billion, nine hundred eighty-eight million, two hundred ninety-one thousand, six hundred".