212940122112 has 576 divisors, whose sum is σ = 700964409600. Its totient is φ = 61860741120.

The previous prime is 212940122111. The next prime is 212940122147. The reversal of 212940122112 is 211221049212.

212940122112 is a `hidden beast` number, since 2 + 1 + 29 + 401 + 221 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (212940122111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 279815812 + ... + 279816572.

It is an arithmetic number, because the mean of its divisors is an integer number (1216952100).

Almost surely, 2^212940122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212940122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350482204800).

212940122112 is an abundant number, since it is smaller than the sum of its proper divisors (488024287488).

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

212940122112 is a wasteful number, since it uses less digits than its factorization.

212940122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 212940122112 in words is "two hundred twelve billion, nine hundred forty million, one hundred twenty-two thousand, one hundred twelve".