120322313100 has 432 divisors, whose sum is σ = 417312290304. Its totient is φ = 28755648000.

The previous prime is 120322313087. The next prime is 120322313113. The reversal of 120322313100 is 1313223021.

120322313100 is a `hidden beast` number, since 1 + 2 + 0 + 322 + 31 + 310 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (120322313087) and next prime (120322313113).

It is a super-2 number, since 2×120322313100² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 279169885 + ... + 279170315.

It is an arithmetic number, because the mean of its divisors is an integer number (966000672).

Almost surely, 2^120322313100 is an apocalyptic number.

120322313100 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 120322313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208656145152).

120322313100 is an abundant number, since it is smaller than the sum of its proper divisors (296989977204).

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

120322313100 is a wasteful number, since it uses less digits than its factorization.

120322313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 788 counting only the distinct ones).

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

Adding to 120322313100 its reverse (1313223021), we get a palindrome (121635536121).

The spelling of 120322313100 in words is "one hundred twenty billion, three hundred twenty-two million, three hundred thirteen thousand, one hundred".