1290192292872 has 384 divisors, whose sum is σ = 4194257034240. Its totient is φ = 363941994240.

The previous prime is 1290192292859. The next prime is 1290192292889. The reversal of 1290192292872 is 2782922910921.

1290192292872 is a `hidden beast` number, since 1 + 2 + 90 + 192 + 292 + 87 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 481953198 + ... + 481955874.

It is an arithmetic number, because the mean of its divisors is an integer number (10922544360).

Almost surely, 2^{1290192292872} is an apocalyptic number.

1290192292872 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 1290192292872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097128517120).

1290192292872 is an abundant number, since it is smaller than the sum of its proper divisors (2904064741368).

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

1290192292872 is a wasteful number, since it uses less digits than its factorization.

1290192292872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3143 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 1290192292872 in words is "one trillion, two hundred ninety billion, one hundred ninety-two million, two hundred ninety-two thousand, eight hundred seventy-two".