312321122100 has 216 divisors, whose sum is σ = 1055883148320. Its totient is φ = 76760490240.

The previous prime is 312321122051. The next prime is 312321122101. The reversal of 312321122100 is 1221123213.

312321122100 is a `hidden beast` number, since 312 + 32 + 112 + 210 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312321122101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7690047 + ... + 7730553.

Almost surely, 2^312321122100 is an apocalyptic number.

312321122100 is a gapful number since it is divisible by the number (30) 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 312321122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527941574160).

312321122100 is an abundant number, since it is smaller than the sum of its proper divisors (743562026220).

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

312321122100 is a wasteful number, since it uses less digits than its factorization.

312321122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41199 (or 41189 counting only the distinct ones).

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

Adding to 312321122100 its reverse (1221123213), we get a palindrome (313542245313).

The spelling of 312321122100 in words is "three hundred twelve billion, three hundred twenty-one million, one hundred twenty-two thousand, one hundred".