1290168000000 has 1400 divisors, whose sum is σ = 5280051008232. Its totient is φ = 311040000000.

The previous prime is 1290167999999. The next prime is 1290168000019. The reversal of 1290168000000 is 8610921.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 7127999910 + ... + 7128000090.

Almost surely, 2^{1290168000000} is an apocalyptic number.

1290168000000 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 1290168000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640025504116).

1290168000000 is an abundant number, since it is smaller than the sum of its proper divisors (3989883008232).

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

1290168000000 is an frugal number, since it uses more digits than its factorization.

1290168000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 1290168000000 in words is "one trillion, two hundred ninety billion, one hundred sixty-eight million", and thus it is an aban number.