312222101100 has 576 divisors, whose sum is σ = 1135560652800. Its totient is φ = 64480665600.

The previous prime is 312222101083. The next prime is 312222101137. The reversal of 312222101100 is 1101222213.

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 312222101100.

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 191 ways as a sum of consecutive naturals, for example, 521238601 + ... + 521239199.

Almost surely, 2^312222101100 is an apocalyptic number.

312222101100 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 312222101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567780326400).

312222101100 is an abundant number, since it is smaller than the sum of its proper divisors (823338551700).

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

312222101100 is a wasteful number, since it uses less digits than its factorization.

312222101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 1003 counting only the distinct ones).

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

Adding to 312222101100 its reverse (1101222213), we get a palindrome (313323323313).

The spelling of 312222101100 in words is "three hundred twelve billion, two hundred twenty-two million, one hundred one thousand, one hundred".