211122000212112 has 120 divisors (see below), whose sum is σ = 644571305340768. Its totient is φ = 63975426624000.

The previous prime is 211122000212107. The next prime is 211122000212113. The reversal of 211122000212112 is 211212000221112.

211122000212112 is a `hidden beast` number, since 211 + 1 + 220 + 0 + 0 + 21 + 211 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (211122000212113) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 111274612 + ... + 113156012.

Almost surely, 2^{211122000212112} is an apocalyptic number.

211122000212112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211122000212112 is an abundant number, since it is smaller than the sum of its proper divisors (433449305128656).

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

211122000212112 is a wasteful number, since it uses less digits than its factorization.

211122000212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952269 (or 1952260 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211122000212112 its reverse (211212000221112), we get a palindrome (422334000433224).

The spelling of 211122000212112 in words is "two hundred eleven trillion, one hundred twenty-two billion, two hundred twelve thousand, one hundred twelve".