45412222120 has 128 divisors (see below), whose sum is σ = 110054246400. Its totient is φ = 16824335616.

The previous prime is 45412222117. The next prime is 45412222129. The reversal of 45412222120 is 2122221454.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (45412222129) 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, 3630517 + ... + 3643003.

It is an arithmetic number, because the mean of its divisors is an integer number (859798800).

Almost surely, 2^45412222120 is an apocalyptic number.

45412222120 is a gapful number since it is divisible by the number (40) 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 45412222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55027123200).

45412222120 is an abundant number, since it is smaller than the sum of its proper divisors (64642024280).

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

45412222120 is a wasteful number, since it uses less digits than its factorization.

45412222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12647 (or 12643 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 45412222120 its reverse (2122221454), we get a palindrome (47534443574).

The spelling of 45412222120 in words is "forty-five billion, four hundred twelve million, two hundred twenty-two thousand, one hundred twenty".