212851228320 has 144 divisors (see below), whose sum is σ = 733843492200. Its totient is φ = 56175132672.

The previous prime is 212851228309. The next prime is 212851228363. The reversal of 212851228320 is 23822158212.

212851228320 is a `hidden beast` number, since 21 + 28 + 512 + 2 + 83 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 192380486544 + 20470741776 = 438612^2 + 143076^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 622245 + ... + 901604.

Almost surely, 2^212851228320 is an apocalyptic number.

212851228320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212851228320 is an abundant number, since it is smaller than the sum of its proper divisors (520992263880).

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

212851228320 is a wasteful number, since it uses less digits than its factorization.

212851228320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523967 (or 1523956 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 212851228320 in words is "two hundred twelve billion, eight hundred fifty-one million, two hundred twenty-eight thousand, three hundred twenty".