1232827804800 has 576 divisors, whose sum is σ = 4547297812200. Its totient is φ = 317788323840.

The previous prime is 1232827804783. The next prime is 1232827804807. The reversal of 1232827804800 is 84087282321.

1232827804800 is a `hidden beast` number, since 1 + 23 + 2 + 82 + 78 + 0 + 480 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 421055636544 + 811772168256 = 648888^2 + 900984^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1232827804807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 167295516 + ... + 167302884.

Almost surely, 2^{1232827804800} is an apocalyptic number.

1232827804800 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 1232827804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273648906100).

1232827804800 is an abundant number, since it is smaller than the sum of its proper divisors (3314470007400).

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

1232827804800 is a wasteful number, since it uses less digits than its factorization.

1232827804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7593 (or 7573 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 1232827804800 in words is "one trillion, two hundred thirty-two billion, eight hundred twenty-seven million, eight hundred four thousand, eight hundred".