212889960000 has 315 divisors, whose sum is σ = 763512067461. Its totient is φ = 56696832000.

The previous prime is 212889959981. The next prime is 212889960001. The reversal of 212889960000 is 69988212.

The square root of 212889960000 is 461400.

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

It can be written as a sum of positive squares in 7 ways, for example, as 181823782464 + 31066177536 = 426408^2 + 176256^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (212889960001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 276839616 + ... + 276840384.

Almost surely, 2^212889960000 is an apocalyptic number.

212889960000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

212889960000 is the 461400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212889960000

212889960000 is an abundant number, since it is smaller than the sum of its proper divisors (550622107461).

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

212889960000 is an frugal number, since it uses more digits than its factorization.

212889960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

It can be divided in two parts, 212889 and 960000, that added together give a square (1172889 = 1083²).

The spelling of 212889960000 in words is "two hundred twelve billion, eight hundred eighty-nine million, nine hundred sixty thousand".