212127102720 has 1296 divisors, whose sum is σ = 861726771360. Its totient is φ = 49662885888.

The previous prime is 212127102697. The next prime is 212127102767. The reversal of 212127102720 is 27201721212.

212127102720 is a `hidden beast` number, since 2 + 121 + 271 + 0 + 272 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3166076127 + ... + 3166076193.

Almost surely, 2^212127102720 is an apocalyptic number.

212127102720 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 212127102720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430863385680).

212127102720 is an abundant number, since it is smaller than the sum of its proper divisors (649599668640).

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

212127102720 is an frugal number, since it uses more digits than its factorization.

212127102720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

Adding to 212127102720 its reverse (27201721212), we get a palindrome (239328823932).

The spelling of 212127102720 in words is "two hundred twelve billion, one hundred twenty-seven million, one hundred two thousand, seven hundred twenty".