212516717941328 has 320 divisors, whose sum is σ = 450499166208000. Its totient is φ = 96913200384000.

The previous prime is 212516717941291. The next prime is 212516717941369. The reversal of 212516717941328 is 823149717615212.

It is a Harshad number since it is a multiple of its sum of digits (59).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18398117153 + ... + 18398128703.

It is an arithmetic number, because the mean of its divisors is an integer number (1407809894400).

Almost surely, 2^{212516717941328} 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 212516717941328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225249583104000).

212516717941328 is an abundant number, since it is smaller than the sum of its proper divisors (237982448266672).

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

212516717941328 is a wasteful number, since it uses less digits than its factorization.

212516717941328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11954 (or 11948 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 59.

The spelling of 212516717941328 in words is "two hundred twelve trillion, five hundred sixteen billion, seven hundred seventeen million, nine hundred forty-one thousand, three hundred twenty-eight".