312220211100 has 288 divisors, whose sum is σ = 1061570721792. Its totient is φ = 69361920000.

The previous prime is 312220211057. The next prime is 312220211161. The reversal of 312220211100 is 1112022213.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 312220211100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23326410 + ... + 23339790.

Almost surely, 2^312220211100 is an apocalyptic number.

312220211100 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 312220211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530785360896).

312220211100 is an abundant number, since it is smaller than the sum of its proper divisors (749350510692).

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

312220211100 is a wasteful number, since it uses less digits than its factorization.

312220211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13717 (or 13710 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 312220211100 its reverse (1112022213), we get a palindrome (313332233313).

The spelling of 312220211100 in words is "three hundred twelve billion, two hundred twenty million, two hundred eleven thousand, one hundred".