1231133200 has 240 divisors, whose sum is σ = 3470670720. Its totient is φ = 414720000.

The previous prime is 1231133191. The next prime is 1231133203. The reversal of 1231133200 is 23311321.

It is a super-2 number, since 2×1231133200² = 3031377912284480000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1231133203) 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 47 ways as a sum of consecutive naturals, for example, 8153125 + ... + 8153275.

It is an arithmetic number, because the mean of its divisors is an integer number (14461128).

Almost surely, 2^1231133200 is an apocalyptic number.

1231133200 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 1231133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735335360).

1231133200 is an abundant number, since it is smaller than the sum of its proper divisors (2239537520).

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

1231133200 is a wasteful number, since it uses less digits than its factorization.

1231133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1231133200 is about 35087.5077484851. The cubic root of 1231133200 is about 1071.7702085985.

Adding to 1231133200 its reverse (23311321), we get a palindrome (1254444521).

It can be divided in two parts, 1231 and 133200, that added together give a palindrome (134431).

The spelling of 1231133200 in words is "one billion, two hundred thirty-one million, one hundred thirty-three thousand, two hundred".