1232132400 has 180 divisors, whose sum is σ = 4349063160. Its totient is φ = 322944000.

The previous prime is 1232132399. The next prime is 1232132413. The reversal of 1232132400 is 42312321.

1232132400 is a `hidden beast` number, since 1 + 232 + 1 + 32 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1232132400² = 3036300502259520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 209500 + ... + 215300.

It is an arithmetic number, because the mean of its divisors is an integer number (24161462).

Almost surely, 2^1232132400 is an apocalyptic number.

1232132400 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 1232132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174531580).

1232132400 is an abundant number, since it is smaller than the sum of its proper divisors (3116930760).

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

1232132400 is a wasteful number, since it uses less digits than its factorization.

1232132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5884 (or 5870 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1232132400 is about 35101.7435464394. The cubic root of 1232132400 is about 1072.0600833258.

Adding to 1232132400 its reverse (42312321), we get a palindrome (1274444721).

It can be divided in two parts, 12321 and 32400, that multiplied together give a square (399200400 = 19980²).

The spelling of 1232132400 in words is "one billion, two hundred thirty-two million, one hundred thirty-two thousand, four hundred".