212376352000 has 144 divisors (see below), whose sum is σ = 529675512912. Its totient is φ = 84851097600.

The previous prime is 212376351977. The next prime is 212376352021. The reversal of 212376352000 is 253673212.

It can be written as a sum of positive squares in 8 ways, for example, as 61869597696 + 150506754304 = 248736^2 + 387952^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31260604 + ... + 31267396.

It is an arithmetic number, because the mean of its divisors is an integer number (3678302173).

Almost surely, 2^212376352000 is an apocalyptic number.

212376352000 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 212376352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264837756456).

212376352000 is an abundant number, since it is smaller than the sum of its proper divisors (317299160912).

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

212376352000 is an frugal number, since it uses more digits than its factorization.

212376352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7801 (or 7777 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The spelling of 212376352000 in words is "two hundred twelve billion, three hundred seventy-six million, three hundred fifty-two thousand".