1142125492800 has 672 divisors, whose sum is σ = 3967588915200. Its totient is φ = 287327805440.

The previous prime is 1142125492793. The next prime is 1142125492813. The reversal of 1142125492800 is 82945212411.

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 95 ways as a sum of consecutive naturals, for example, 705450391 + ... + 705452009.

Almost surely, 2^{1142125492800} is an apocalyptic number.

1142125492800 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 1142125492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983794457600).

1142125492800 is an abundant number, since it is smaller than the sum of its proper divisors (2825463422400).

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

1142125492800 is a wasteful number, since it uses less digits than its factorization.

1142125492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 1142125492800 in words is "one trillion, one hundred forty-two billion, one hundred twenty-five million, four hundred ninety-two thousand, eight hundred".