42212627712 has 360 divisors, whose sum is σ = 133307636000. Its totient is φ = 13248811008.

The previous prime is 42212627707. The next prime is 42212627719. The reversal of 42212627712 is 21772621224.

42212627712 is a `hidden beast` number, since 4 + 2 + 2 + 12 + 627 + 7 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42212627719) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 120952914 + ... + 120953262.

Almost surely, 2^42212627712 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 42212627712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66653818000).

42212627712 is an abundant number, since it is smaller than the sum of its proper divisors (91095008288).

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

42212627712 is a wasteful number, since it uses less digits than its factorization.

42212627712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 680 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The spelling of 42212627712 in words is "forty-two billion, two hundred twelve million, six hundred twenty-seven thousand, seven hundred twelve".