42232003112000 has 224 divisors, whose sum is σ = 112653625628544. Its totient is φ = 15590465280000.

The previous prime is 42232003111993. The next prime is 42232003112017. The reversal of 42232003112000 is 21130023224.

42232003112000 is digitally balanced in base 6, 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 (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 608469299 + ... + 608538701.

It is an arithmetic number, because the mean of its divisors is an integer number (502917971556).

Almost surely, 2^{42232003112000} is an apocalyptic number.

42232003112000 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 42232003112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56326812814272).

42232003112000 is an abundant number, since it is smaller than the sum of its proper divisors (70421622516544).

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

42232003112000 is a wasteful number, since it uses less digits than its factorization.

42232003112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75294 (or 75274 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 42232003112000 its reverse (21130023224), we get a palindrome (42253133135224).

The spelling of 42232003112000 in words is "forty-two trillion, two hundred thirty-two billion, three million, one hundred twelve thousand".