420021112122 has 64 divisors (see below), whose sum is σ = 951921573120. Its totient is φ = 137241518400.

The previous prime is 420021112117. The next prime is 420021112127. The reversal of 420021112122 is 221211120024.

420021112122 is a `hidden beast` number, since 420 + 0 + 21 + 11 + 212 + 2 = 666.

420021112122 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (420021112117) and next prime (420021112127).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 420021112095 and 420021112104.

It is not an unprimeable number, because it can be changed into a prime (420021112127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 747547 + ... + 1182737.

It is an arithmetic number, because the mean of its divisors is an integer number (14873774580).

Almost surely, 2^420021112122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420021112122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475960786560).

420021112122 is an abundant number, since it is smaller than the sum of its proper divisors (531900460998).

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

420021112122 is a wasteful number, since it uses less digits than its factorization.

420021112122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435556 (or 435550 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 420021112122 its reverse (221211120024), we get a palindrome (641232232146).

The spelling of 420021112122 in words is "four hundred twenty billion, twenty-one million, one hundred twelve thousand, one hundred twenty-two".