212131260476800 has 384 divisors, whose sum is σ = 625132074700800. Its totient is φ = 69546105446400.

The previous prime is 212131260476789. The next prime is 212131260476803. The reversal of 212131260476800 is 8674062131212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212131260476803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1638786481 + ... + 1638915919.

It is an arithmetic number, because the mean of its divisors is an integer number (1627948111200).

Almost surely, 2^{212131260476800} is an apocalyptic number.

212131260476800 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 212131260476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312566037350400).

212131260476800 is an abundant number, since it is smaller than the sum of its proper divisors (413000814224000).

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

212131260476800 is a wasteful number, since it uses less digits than its factorization.

212131260476800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132674 (or 132657 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 212131260476800 in words is "two hundred twelve trillion, one hundred thirty-one billion, two hundred sixty million, four hundred seventy-six thousand, eight hundred".