1292092793472 has 192 divisors, whose sum is σ = 3722675362560. Its totient is φ = 396899942400.

The previous prime is 1292092793449. The next prime is 1292092793501. The reversal of 1292092793472 is 2743972902921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39375472 + ... + 39408272.

It is an arithmetic number, because the mean of its divisors is an integer number (19388934180).

Almost surely, 2^{1292092793472} is an apocalyptic number.

1292092793472 is a gapful number since it is divisible by the number (12) 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 1292092793472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861337681280).

1292092793472 is an abundant number, since it is smaller than the sum of its proper divisors (2430582569088).

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

1292092793472 is a wasteful number, since it uses less digits than its factorization.

1292092793472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33451 (or 33426 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 57.

The spelling of 1292092793472 in words is "one trillion, two hundred ninety-two billion, ninety-two million, seven hundred ninety-three thousand, four hundred seventy-two".