421221122124 has 96 divisors (see below), whose sum is σ = 1101431520000. Its totient is φ = 124164322560.

The previous prime is 421221122089. The next prime is 421221122137.

421221122124 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 421221122094 and 421221122103.

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, 31197127 + ... + 31210625.

It is an arithmetic number, because the mean of its divisors is an integer number (11473245000).

Almost surely, 2^421221122124 is an apocalyptic number.

421221122124 is a gapful number since it is divisible by the number (44) 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 421221122124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550715760000).

421221122124 is an abundant number, since it is smaller than the sum of its proper divisors (680210397876).

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

421221122124 is a wasteful number, since it uses less digits than its factorization.

421221122124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19943 (or 19941 counting only the distinct ones).

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

It can be divided in two parts, 421221 and 122124, that added together give a palindrome (543345).

The spelling of 421221122124 in words is "four hundred twenty-one billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty-four".