42132100123124 has 48 divisors (see below), whose sum is σ = 85168274458176. Its totient is φ = 18023824089600.

The previous prime is 42132100123123. The next prime is 42132100123159.

It is a happy number.

42132100123124 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42132100123124² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42132100123093 and 42132100123102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42132100123123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21766847 + ... + 23623289.

It is an arithmetic number, because the mean of its divisors is an integer number (1774339051212).

Almost surely, 2^{42132100123124} is an apocalyptic number.

42132100123124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42132100123124 is an abundant number, since it is smaller than the sum of its proper divisors (43036174335052).

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

42132100123124 is a wasteful number, since it uses less digits than its factorization.

42132100123124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886816 (or 1886814 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 42132100 and 123124, that added together give a palindrome (42255224).

The spelling of 42132100123124 in words is "forty-two trillion, one hundred thirty-two billion, one hundred million, one hundred twenty-three thousand, one hundred twenty-four".