212112222100000 has 72 divisors (see below), whose sum is σ = 521961514145316. Its totient is φ = 84844888800000.

The previous prime is 212112222099997. The next prime is 212112222100013. The reversal of 212112222100000 is 1222211212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 67526122935184 + 144586099164816 = 8217428^2 + 12024396^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 1060461111 + ... + 1060661110.

Almost surely, 2^{212112222100000} is an apocalyptic number.

212112222100000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112222100000 is an abundant number, since it is smaller than the sum of its proper divisors (309849292045316).

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

212112222100000 is an frugal number, since it uses more digits than its factorization.

212112222100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121122256 (or 2121122228 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212112222100000 its reverse (1222211212), we get a palindrome (212113444311212).

The spelling of 212112222100000 in words is "two hundred twelve trillion, one hundred twelve billion, two hundred twenty-two million, one hundred thousand".