2231120400 has 120 divisors (see below), whose sum is σ = 7268388960. Its totient is φ = 584862720.

The previous prime is 2231120393. The next prime is 2231120413. The reversal of 2231120400 is 40211322.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×2231120400³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2231120400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55044 + ... + 86556.

It is an arithmetic number, because the mean of its divisors is an integer number (60569908).

Almost surely, 2^2231120400 is an apocalyptic number.

2231120400 is a gapful number since it is divisible by the number (20) 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 2231120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3634194480).

2231120400 is an abundant number, since it is smaller than the sum of its proper divisors (5037268560).

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

2231120400 is a wasteful number, since it uses less digits than its factorization.

2231120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31593 (or 31582 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2231120400 is about 47234.7372174335. The cubic root of 2231120400 is about 1306.6953201871.

Adding to 2231120400 its reverse (40211322), we get a palindrome (2271331722).

The spelling of 2231120400 in words is "two billion, two hundred thirty-one million, one hundred twenty thousand, four hundred".