1290391171200 has 960 divisors, whose sum is σ = 5098554252000. Its totient is φ = 320396083200.

The previous prime is 1290391171193. The next prime is 1290391171213. The reversal of 1290391171200 is 21711930921.

1290391171200 is a `hidden beast` number, since 12 + 90 + 391 + 171 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 290560980 + ... + 290565420.

Almost surely, 2^{1290391171200} is an apocalyptic number.

1290391171200 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 1290391171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549277126000).

1290391171200 is an abundant number, since it is smaller than the sum of its proper divisors (3808163080800).

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

1290391171200 is a wasteful number, since it uses less digits than its factorization.

1290391171200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4555 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The spelling of 1290391171200 in words is "one trillion, two hundred ninety billion, three hundred ninety-one million, one hundred seventy-one thousand, two hundred".