312212101200 has 60 divisors (see below), whose sum is σ = 1000119434688. Its totient is φ = 83256560000.

The previous prime is 312212101153. The next prime is 312212101213. The reversal of 312212101200 is 2101212213.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×312212101200² (a number of 24 digits) contains 22 as substring.

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 312212101200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130087176 + ... + 130089575.

Almost surely, 2^312212101200 is an apocalyptic number.

312212101200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312212101200 is an abundant number, since it is smaller than the sum of its proper divisors (687907333488).

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

312212101200 is a wasteful number, since it uses less digits than its factorization.

312212101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260176772 (or 260176761 counting only the distinct ones).

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

Adding to 312212101200 its reverse (2101212213), we get a palindrome (314313313413).

The spelling of 312212101200 in words is "three hundred twelve billion, two hundred twelve million, one hundred one thousand, two hundred".