212117654112 has 576 divisors, whose sum is σ = 712373405184. Its totient is φ = 54086123520.

The previous prime is 212117654107. The next prime is 212117654131. The reversal of 212117654112 is 211456711212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 464152188 + ... + 464152644.

It is an arithmetic number, because the mean of its divisors is an integer number (1236759384).

Almost surely, 2^212117654112 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 212117654112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356186702592).

212117654112 is an abundant number, since it is smaller than the sum of its proper divisors (500255751072).

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

212117654112 is a wasteful number, since it uses less digits than its factorization.

212117654112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 610 counting only the distinct ones).

The product of its digits is 6720, while the sum is 33.

The spelling of 212117654112 in words is "two hundred twelve billion, one hundred seventeen million, six hundred fifty-four thousand, one hundred twelve".