1292006424096 has 432 divisors, whose sum is σ = 4084076505600. Its totient is φ = 386628059136.

The previous prime is 1292006424077. The next prime is 1292006424103. The reversal of 1292006424096 is 6904246002921.

1292006424096 is a `hidden beast` number, since 12 + 9 + 200 + 6 + 424 + 0 + 9 + 6 = 666.

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 71 ways as a sum of consecutive naturals, for example, 916966240 + ... + 916967648.

It is an arithmetic number, because the mean of its divisors is an integer number (9453880800).

Almost surely, 2^{1292006424096} is an apocalyptic number.

1292006424096 is a gapful number since it is divisible by the number (16) 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 1292006424096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042038252800).

1292006424096 is an abundant number, since it is smaller than the sum of its proper divisors (2792070081504).

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

1292006424096 is a wasteful number, since it uses less digits than its factorization.

1292006424096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 1292006424096 in words is "one trillion, two hundred ninety-two billion, six million, four hundred twenty-four thousand, ninety-six".