1292361080192 has 512 divisors, whose sum is σ = 3304917504000. Its totient is φ = 489946226688.

The previous prime is 1292361080183. The next prime is 1292361080203. The reversal of 1292361080192 is 2910801632921.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 7928595503 + ... + 7928595665.

It is an arithmetic number, because the mean of its divisors is an integer number (6454917000).

Almost surely, 2^{1292361080192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1292361080192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652458752000).

1292361080192 is an abundant number, since it is smaller than the sum of its proper divisors (2012556423808).

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

1292361080192 is a wasteful number, since it uses less digits than its factorization.

1292361080192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 44.

The spelling of 1292361080192 in words is "one trillion, two hundred ninety-two billion, three hundred sixty-one million, eighty thousand, one hundred ninety-two".