212431010989692 has 288 divisors, whose sum is σ = 560472795332352. Its totient is φ = 62103525120000.

The previous prime is 212431010989621. The next prime is 212431010989693. The reversal of 212431010989692 is 296989010134212.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212431010989693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75841130692 + ... + 75841133492.

It is an arithmetic number, because the mean of its divisors is an integer number (1946086094904).

Almost surely, 2^{212431010989692} is an apocalyptic number.

212431010989692 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212431010989692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280236397666176).

212431010989692 is an abundant number, since it is smaller than the sum of its proper divisors (348041784342660).

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

212431010989692 is a wasteful number, since it uses less digits than its factorization.

212431010989692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4521 (or 4488 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 57.

The spelling of 212431010989692 in words is "two hundred twelve trillion, four hundred thirty-one billion, ten million, nine hundred eighty-nine thousand, six hundred ninety-two".