2251253322120 has 128 divisors (see below), whose sum is σ = 7382869079040. Its totient is φ = 544637571840.

The previous prime is 2251253322089. The next prime is 2251253322161. The reversal of 2251253322120 is 212233521522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1108182 + ... + 2393861.

It is an arithmetic number, because the mean of its divisors is an integer number (57678664680).

Almost surely, 2^{2251253322120} is an apocalyptic number.

2251253322120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2251253322120 is an abundant number, since it is smaller than the sum of its proper divisors (5131615756920).

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

2251253322120 is a wasteful number, since it uses less digits than its factorization.

2251253322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3502555 (or 3502551 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 2251253322120 its reverse (212233521522), we get a palindrome (2463486843642).

The spelling of 2251253322120 in words is "two trillion, two hundred fifty-one billion, two hundred fifty-three million, three hundred twenty-two thousand, one hundred twenty".