1132220400 has 120 divisors (see below), whose sum is σ = 3840294384. Its totient is φ = 284160000.

The previous prime is 1132220399. The next prime is 1132220447. The reversal of 1132220400 is 40222311.

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

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 1132220400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7351 + ... + 48150.

Almost surely, 2^1132220400 is an apocalyptic number.

1132220400 is a gapful number since it is divisible by the number (10) 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 1132220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920147192).

1132220400 is an abundant number, since it is smaller than the sum of its proper divisors (2708073984).

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

1132220400 is a wasteful number, since it uses less digits than its factorization.

1132220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55539 (or 55528 counting only the distinct ones).

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

The square root of 1132220400 is about 33648.4828781329. The cubic root of 1132220400 is about 1042.2622107737.

Adding to 1132220400 its reverse (40222311), we get a palindrome (1172442711).

The spelling of 1132220400 in words is "one billion, one hundred thirty-two million, two hundred twenty thousand, four hundred".