1130120400 has 120 divisors (see below), whose sum is σ = 3628489984. Its totient is φ = 300672000.

The previous prime is 1130120371. The next prime is 1130120417. The reversal of 1130120400 is 40210311.

It is a happy number.

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 (12).

It is a congruent number.

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, 720417 + ... + 721983.

Almost surely, 2^1130120400 is an apocalyptic number.

1130120400 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 1130120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814244992).

1130120400 is an abundant number, since it is smaller than the sum of its proper divisors (2498369584).

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

1130120400 is a wasteful number, since it uses less digits than its factorization.

1130120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1130120400 is about 33617.2634222359. The cubic root of 1130120400 is about 1041.6174289971.

Adding to 1130120400 its reverse (40210311), we get a palindrome (1170330711).

The spelling of 1130120400 in words is "one billion, one hundred thirty million, one hundred twenty thousand, four hundred".