42124012000 has 96 divisors (see below), whose sum is σ = 118284304320. Its totient is φ = 14442508800.

The previous prime is 42124011991. The next prime is 42124012033. The reversal of 42124012000 is 21042124.

42124012000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42124012000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 724215 + ... + 780214.

It is an arithmetic number, because the mean of its divisors is an integer number (1232128170).

Almost surely, 2^42124012000 is an apocalyptic number.

42124012000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42124012000 is an abundant number, since it is smaller than the sum of its proper divisors (76160292320).

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

42124012000 is a wasteful number, since it uses less digits than its factorization.

42124012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504461 (or 1504443 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 42124012000 its reverse (21042124), we get a palindrome (42145054124).

The spelling of 42124012000 in words is "forty-two billion, one hundred twenty-four million, twelve thousand".