1204904131200 has 2304 divisors, whose sum is σ = 5864333230080. Its totient is φ = 227819520000.

The previous prime is 1204904131163. The next prime is 1204904131213. The reversal of 1204904131200 is 21314094021.

It is a happy number.

1204904131200 is a `hidden beast` number, since 1 + 2 + 0 + 49 + 0 + 413 + 1 + 200 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1168674685 + ... + 1168675715.

It is an arithmetic number, because the mean of its divisors is an integer number (2545283520).

Almost surely, 2^{1204904131200} is an apocalyptic number.

1204904131200 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 1204904131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932166615040).

1204904131200 is an abundant number, since it is smaller than the sum of its proper divisors (4659429098880).

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

1204904131200 is a wasteful number, since it uses less digits than its factorization.

1204904131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 1204904131200 in words is "one trillion, two hundred four billion, nine hundred four million, one hundred thirty-one thousand, two hundred".