212152360000 has 525 divisors, whose sum is σ = 627046030259. Its totient is φ = 71190336000.

The previous prime is 212152359989. The next prime is 212152360031. The reversal of 212152360000 is 63251212.

The square root of 212152360000 is 460600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 16632745024 + 195519614976 = 128968^2 + 442176^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 4513879977 + ... + 4513880023.

Almost surely, 2^212152360000 is an apocalyptic number.

212152360000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

212152360000 is the 460600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212152360000

212152360000 is an abundant number, since it is smaller than the sum of its proper divisors (414893670259).

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

212152360000 is an frugal number, since it uses more digits than its factorization.

212152360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The spelling of 212152360000 in words is "two hundred twelve billion, one hundred fifty-two million, three hundred sixty thousand".