1120152400 has 60 divisors (see below), whose sum is σ = 2697719200. Its totient is φ = 446970240.

The previous prime is 1120152367. The next prime is 1120152401. The reversal of 1120152400 is 42510211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120152401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172411 + ... + 178789.

Almost surely, 2^1120152400 is an apocalyptic number.

1120152400 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 1120152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348859600).

1120152400 is an abundant number, since it is smaller than the sum of its proper divisors (1577566800).

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

1120152400 is a wasteful number, since it uses less digits than its factorization.

1120152400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6836 (or 6825 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 1120152400 is about 33468.6778944135. The cubic root of 1120152400 is about 1038.5459215733.

Adding to 1120152400 its reverse (42510211), we get a palindrome (1162662611).

The spelling of 1120152400 in words is "one billion, one hundred twenty million, one hundred fifty-two thousand, four hundred".