212967475200 has 432 divisors, whose sum is σ = 764973108900. Its totient is φ = 56623104000.

The previous prime is 212967475181. The next prime is 212967475207. The reversal of 212967475200 is 2574769212.

212967475200 is a `hidden beast` number, since 2 + 1 + 29 + 67 + 47 + 520 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 104478925824 + 108488549376 = 323232^2 + 329376^2 .

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 (212967475207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 276940416 + ... + 276941184.

Almost surely, 2^212967475200 is an apocalyptic number.

212967475200 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 212967475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382486554450).

212967475200 is an abundant number, since it is smaller than the sum of its proper divisors (552005633700).

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

212967475200 is a wasteful number, since it uses less digits than its factorization.

212967475200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 212967475200 in words is "two hundred twelve billion, nine hundred sixty-seven million, four hundred seventy-five thousand, two hundred".