42212402232000 has 3584 divisors, whose sum is σ = 194030143856640. Its totient is φ = 7849820160000.

The previous prime is 42212402231981. The next prime is 42212402232173. The reversal of 42212402232000 is 23220421224.

42212402232000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 150222071860 + ... + 150222072140.

It is an arithmetic number, because the mean of its divisors is an integer number (54137874960).

Almost surely, 2^{42212402232000} is an apocalyptic number.

42212402232000 is a gapful number since it is divisible by the number (40) 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 42212402232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97015071928320).

42212402232000 is an abundant number, since it is smaller than the sum of its proper divisors (151817741624640).

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

42212402232000 is a wasteful number, since it uses less digits than its factorization.

42212402232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42212402232000 its reverse (23220421224), we get a palindrome (42235622653224).

The spelling of 42212402232000 in words is "forty-two trillion, two hundred twelve billion, four hundred two million, two hundred thirty-two thousand".