12120761917440 has 1344 divisors, whose sum is σ = 49058094009600. Its totient is φ = 2737019289600.

The previous prime is 12120761917417. The next prime is 12120761917441. The reversal of 12120761917440 is 4471916702121.

12120761917440 is a `hidden beast` number, since 1 + 2 + 1 + 20 + 7 + 619 + 1 + 7 + 4 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120761917441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4699790071 + ... + 4699792649.

Almost surely, 2^{12120761917440} is an apocalyptic number.

12120761917440 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 12120761917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24529047004800).

12120761917440 is an abundant number, since it is smaller than the sum of its proper divisors (36937332092160).

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

12120761917440 is a wasteful number, since it uses less digits than its factorization.

12120761917440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2707 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 12120761917440 in words is "twelve trillion, one hundred twenty billion, seven hundred sixty-one million, nine hundred seventeen thousand, four hundred forty".