212221138558072 has 576 divisors, whose sum is σ = 506750705556480. Its totient is φ = 81539806892544.

The previous prime is 212221138558067. The next prime is 212221138558081. The reversal of 212221138558072 is 270855831122212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 149136428353 + ... + 149136429775.

It is an arithmetic number, because the mean of its divisors is an integer number (879775530480).

Almost surely, 2^{212221138558072} 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 212221138558072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253375352778240).

212221138558072 is an abundant number, since it is smaller than the sum of its proper divisors (294529566998408).

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

212221138558072 is a wasteful number, since it uses less digits than its factorization.

212221138558072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 49.

The spelling of 212221138558072 in words is "two hundred twelve trillion, two hundred twenty-one billion, one hundred thirty-eight million, five hundred fifty-eight thousand, seventy-two".