321112231200 has 144 divisors (see below), whose sum is σ = 1161355980960. Its totient is φ = 85629922560.

The previous prime is 321112231183. The next prime is 321112231217. The reversal of 321112231200 is 2132211123.

321112231200 is a `hidden beast` number, since 321 + 1 + 1 + 223 + 120 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (321112231183) and next prime (321112231217).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×321112231200² (a number of 24 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 23 ways as a sum of consecutive naturals, for example, 7411554 + ... + 7454753.

It is an arithmetic number, because the mean of its divisors is an integer number (8064972090).

Almost surely, 2^321112231200 is an apocalyptic number.

321112231200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321112231200 is an abundant number, since it is smaller than the sum of its proper divisors (840243749760).

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

321112231200 is a wasteful number, since it uses less digits than its factorization.

321112231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14866336 (or 14866317 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 321112231200 its reverse (2132211123), we get a palindrome (323244442323).

The spelling of 321112231200 in words is "three hundred twenty-one billion, one hundred twelve million, two hundred thirty-one thousand, two hundred".