212747136031872 has 1024 divisors, whose sum is σ = 735370534080000. Its totient is φ = 60337754800128.

The previous prime is 212747136031861. The next prime is 212747136031879. The reversal of 212747136031872 is 278130631747212.

212747136031872 is a `hidden beast` number, since 2 + 1 + 2 + 7 + 4 + 7 + 13 + 603 + 18 + 7 + 2 = 666.

It is a super-2 number, since 2×212747136031872² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (212747136031879) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5337740968 + ... + 5337780824.

Almost surely, 2^{212747136031872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212747136031872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367685267040000).

212747136031872 is an abundant number, since it is smaller than the sum of its proper divisors (522623398048128).

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

212747136031872 is a wasteful number, since it uses less digits than its factorization.

212747136031872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39975 (or 39931 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 212747136031872 in words is "two hundred twelve trillion, seven hundred forty-seven billion, one hundred thirty-six million, thirty-one thousand, eight hundred seventy-two".