421332233124 has 96 divisors (see below), whose sum is σ = 1103333083776. Its totient is φ = 124015380480.

The previous prime is 421332233117. The next prime is 421332233149.

It is a happy number.

421332233124 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 = 421332233091 and 421332233100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2823474 + ... + 2968950.

It is an arithmetic number, because the mean of its divisors is an integer number (11493052956).

Almost surely, 2^421332233124 is an apocalyptic number.

421332233124 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 421332233124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551666541888).

421332233124 is an abundant number, since it is smaller than the sum of its proper divisors (682000850652).

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

421332233124 is a wasteful number, since it uses less digits than its factorization.

421332233124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146125 (or 146123 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

It can be divided in two parts, 421332 and 233124, that added together give a palindrome (654456).

The spelling of 421332233124 in words is "four hundred twenty-one billion, three hundred thirty-two million, two hundred thirty-three thousand, one hundred twenty-four".