11922430590720 has 2160 divisors, whose sum is σ = 49154368808160. Its totient is φ = 2742279929856.

The previous prime is 11922430590667. The next prime is 11922430590803. The reversal of 11922430590720 is 2709503422911.

11922430590720 is a `hidden beast` number, since 1 + 1 + 9 + 2 + 2 + 4 + 30 + 590 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 52063015566 + ... + 52063015794.

It is an arithmetic number, because the mean of its divisors is an integer number (22756652226).

Almost surely, 2^{11922430590720} is an apocalyptic number.

11922430590720 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 11922430590720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24577184404080).

11922430590720 is an abundant number, since it is smaller than the sum of its proper divisors (37231938217440).

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

11922430590720 is a wasteful number, since it uses less digits than its factorization.

11922430590720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 11922430590720 in words is "eleven trillion, nine hundred twenty-two billion, four hundred thirty million, five hundred ninety thousand, seven hundred twenty".