212137789920 has 384 divisors, whose sum is σ = 775680675840. Its totient is φ = 47731507200.

The previous prime is 212137789873. The next prime is 212137789937. The reversal of 212137789920 is 29987731212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106440444 + ... + 106442436.

It is an arithmetic number, because the mean of its divisors is an integer number (2020001760).

Almost surely, 2^212137789920 is an apocalyptic number.

212137789920 is a gapful number since it is divisible by the number (20) 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 212137789920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387840337920).

212137789920 is an abundant number, since it is smaller than the sum of its proper divisors (563542885920).

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

212137789920 is a wasteful number, since it uses less digits than its factorization.

212137789920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2498 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 51.

The spelling of 212137789920 in words is "two hundred twelve billion, one hundred thirty-seven million, seven hundred eighty-nine thousand, nine hundred twenty".