1204125956880 has 1920 divisors, whose sum is σ = 5276233728000. Its totient is φ = 223552143360.

The previous prime is 1204125956743. The next prime is 1204125956899. The reversal of 1204125956880 is 886595214021.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5038183801 + ... + 5038184039.

It is an arithmetic number, because the mean of its divisors is an integer number (2748038400).

Almost surely, 2^{1204125956880} is an apocalyptic number.

1204125956880 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 1204125956880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2638116864000).

1204125956880 is an abundant number, since it is smaller than the sum of its proper divisors (4072107771120).

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

1204125956880 is a wasteful number, since it uses less digits than its factorization.

1204125956880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 51.

The spelling of 1204125956880 in words is "one trillion, two hundred four billion, one hundred twenty-five million, nine hundred fifty-six thousand, eight hundred eighty".