42121200212124 has 24 divisors (see below), whose sum is σ = 107217600540288. Its totient is φ = 12764000064240.

The previous prime is 42121200212093. The next prime is 42121200212153.

42121200212124 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42121200212094 and 42121200212103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159550000672 + ... + 159550000935.

It is an arithmetic number, because the mean of its divisors is an integer number (4467400022512).

Almost surely, 2^{42121200212124} is an apocalyptic number.

42121200212124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42121200212124 is an abundant number, since it is smaller than the sum of its proper divisors (65096400328164).

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

42121200212124 is a wasteful number, since it uses less digits than its factorization.

42121200212124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319100001625 (or 319100001623 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 42121200 and 212124, that added together give a palindrome (42333324).

The spelling of 42121200212124 in words is "forty-two trillion, one hundred twenty-one billion, two hundred million, two hundred twelve thousand, one hundred twenty-four".