1131122400 has 72 divisors (see below), whose sum is σ = 3681811224. Its totient is φ = 301632000.

The previous prime is 1131122393. The next prime is 1131122411. The reversal of 1131122400 is 42211311.

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 1131122400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 233251 + ... + 238050.

It is an arithmetic number, because the mean of its divisors is an integer number (51136267).

Almost surely, 2^1131122400 is an apocalyptic number.

1131122400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131122400 is an abundant number, since it is smaller than the sum of its proper divisors (2550688824).

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

1131122400 is a wasteful number, since it uses less digits than its factorization.

1131122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471324 (or 471311 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1131122400 is about 33632.1631775299. The cubic root of 1131122400 is about 1041.9251815624.

Adding to 1131122400 its reverse (42211311), we get a palindrome (1173333711).

The spelling of 1131122400 in words is "one billion, one hundred thirty-one million, one hundred twenty-two thousand, four hundred".