420222222222024 has 128 divisors (see below), whose sum is σ = 1097269100928000. Its totient is φ = 133974302310144.

The previous prime is 420222222222017. The next prime is 420222222222059.

420222222222024 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×420222222222024² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420222222221982 and 420222222222000.

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, 2097623127 + ... + 2097823449.

It is an arithmetic number, because the mean of its divisors is an integer number (8572414851000).

Almost surely, 2^{420222222222024} 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 420222222222024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548634550464000).

420222222222024 is an abundant number, since it is smaller than the sum of its proper divisors (677046878705976).

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

420222222222024 is a wasteful number, since it uses less digits than its factorization.

420222222222024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240467 (or 240463 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

The spelling of 420222222222024 in words is "four hundred twenty trillion, two hundred twenty-two billion, two hundred twenty-two million, two hundred twenty-two thousand, twenty-four".