212147952200 has 36 divisors (see below), whose sum is σ = 493259133915. Its totient is φ = 84856575360.

The previous prime is 212147952197. The next prime is 212147952221. The reversal of 212147952200 is 2259741212.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 195252631876 + 16895320324 = 441874^2 + 129982^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=325690.

It is a super-4 number, since 4×212147952200⁴ (a number of 46 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6497516 + ... + 6530084.

Almost surely, 2^212147952200 is an apocalyptic number.

212147952200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212147952200 is an abundant number, since it is smaller than the sum of its proper divisors (281111181715).

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

212147952200 is an frugal number, since it uses more digits than its factorization.

212147952200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65154 (or 32576 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The spelling of 212147952200 in words is "two hundred twelve billion, one hundred forty-seven million, nine hundred fifty-two thousand, two hundred".