1290755157120 has 1536 divisors, whose sum is σ = 5638147430400. Its totient is φ = 276123893760.

The previous prime is 1290755157113. The next prime is 1290755157157. The reversal of 1290755157120 is 217515570921.

1290755157120 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 7 + 5 + 51 + 571 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 738840087 + ... + 738841833.

It is an arithmetic number, because the mean of its divisors is an integer number (3670668900).

Almost surely, 2^{1290755157120} is an apocalyptic number.

1290755157120 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 1290755157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2819073715200).

1290755157120 is an abundant number, since it is smaller than the sum of its proper divisors (4347392273280).

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

1290755157120 is a wasteful number, since it uses less digits than its factorization.

1290755157120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 220500, while the sum is 45.

The spelling of 1290755157120 in words is "one trillion, two hundred ninety billion, seven hundred fifty-five million, one hundred fifty-seven thousand, one hundred twenty".