421222343222124 has 576 divisors, whose sum is σ = 1134876427776000. Its totient is φ = 131588880998400.

The previous prime is 421222343222119. The next prime is 421222343222147.

It is a happy number.

421222343222124 is a `hidden beast` number, since 4 + 2 + 1 + 2 + 2 + 2 + 3 + 432 + 2 + 212 + 4 = 666.

421222343222124 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 210716528877 + ... + 210716530875.

It is an arithmetic number, because the mean of its divisors is an integer number (1970271576000).

Almost surely, 2^{421222343222124} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421222343222124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567438213888000).

421222343222124 is an abundant number, since it is smaller than the sum of its proper divisors (713654084553876).

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

421222343222124 is a wasteful number, since it uses less digits than its factorization.

421222343222124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2510 (or 2505 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The spelling of 421222343222124 in words is "four hundred twenty-one trillion, two hundred twenty-two billion, three hundred forty-three million, two hundred twenty-two thousand, one hundred twenty-four".