212154451200 has 324 divisors, whose sum is σ = 803121401628. Its totient is φ = 53246361600.

The previous prime is 212154451181. The next prime is 212154451241. The reversal of 212154451200 is 2154451212.

It is a happy number.

212154451200 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 5 + 4 + 451 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4130889984 + 208023561216 = 64272^2 + 456096^2 .

It is a super-2 number, since 2×212154451200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 870870 + ... + 1087530.

Almost surely, 2^212154451200 is an apocalyptic number.

212154451200 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 212154451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401560700814).

212154451200 is an abundant number, since it is smaller than the sum of its proper divisors (590966950428).

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

212154451200 is a wasteful number, since it uses less digits than its factorization.

212154451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216710 (or 216688 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 212154451200 in words is "two hundred twelve billion, one hundred fifty-four million, four hundred fifty-one thousand, two hundred".