1190250990720 has 768 divisors, whose sum is σ = 4818628414080. Its totient is φ = 267502878720.

The previous prime is 1190250990701. The next prime is 1190250990749. The reversal of 1190250990720 is 270990520911.

1190250990720 is a `hidden beast` number, since 119 + 0 + 2 + 509 + 9 + 0 + 7 + 20 = 666.

It is a super-2 number, since 2×1190250990720² (a number of 25 digits) contains 22 as substring.

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

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, 72158794 + ... + 72175286.

Almost surely, 2^{1190250990720} is an apocalyptic number.

1190250990720 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 1190250990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409314207040).

1190250990720 is an abundant number, since it is smaller than the sum of its proper divisors (3628377423360).

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

1190250990720 is a wasteful number, since it uses less digits than its factorization.

1190250990720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16613 (or 16598 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The spelling of 1190250990720 in words is "one trillion, one hundred ninety billion, two hundred fifty million, nine hundred ninety thousand, seven hundred twenty".