212027270400 has 648 divisors, whose sum is σ = 832437199776. Its totient is φ = 51060326400.

The previous prime is 212027270387. The next prime is 212027270401. The reversal of 212027270400 is 4072720212.

212027270400 is a `hidden beast` number, since 2 + 120 + 2 + 72 + 70 + 400 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212027270401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 103275774 + ... + 103277826.

Almost surely, 2^212027270400 is an apocalyptic number.

212027270400 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 212027270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416218599888).

212027270400 is an abundant number, since it is smaller than the sum of its proper divisors (620409929376).

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

212027270400 is a wasteful number, since it uses less digits than its factorization.

212027270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

Adding to 212027270400 its reverse (4072720212), we get a palindrome (216099990612).

The spelling of 212027270400 in words is "two hundred twelve billion, twenty-seven million, two hundred seventy thousand, four hundred".