120197592900 has 2016 divisors, whose sum is σ = 546465024000. Its totient is φ = 22632825600.

The previous prime is 120197592821. The next prime is 120197592913. The reversal of 120197592900 is 9295791021.

120197592900 is a `hidden beast` number, since 120 + 197 + 59 + 290 + 0 = 666.

It is a super-2 number, since 2×120197592900² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 5225982289 + ... + 5225982311.

It is an arithmetic number, because the mean of its divisors is an integer number (271064000).

Almost surely, 2^120197592900 is an apocalyptic number.

120197592900 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 120197592900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273232512000).

120197592900 is an abundant number, since it is smaller than the sum of its proper divisors (426267431100).

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

120197592900 is a wasteful number, since it uses less digits than its factorization.

120197592900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The spelling of 120197592900 in words is "one hundred twenty billion, one hundred ninety-seven million, five hundred ninety-two thousand, nine hundred".