11712420720 has 640 divisors, whose sum is σ = 54176532480. Its totient is φ = 2246123520.

The previous prime is 11712420701. The next prime is 11712420773. The reversal of 11712420720 is 2702421711.

It is a happy number.

11712420720 is a `hidden beast` number, since 1 + 171 + 2 + 420 + 72 + 0 = 666.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2159452 + ... + 2164868.

It is an arithmetic number, because the mean of its divisors is an integer number (84650832).

Almost surely, 2^11712420720 is an apocalyptic number.

11712420720 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 11712420720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27088266240).

11712420720 is an abundant number, since it is smaller than the sum of its proper divisors (42464111760).

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

11712420720 is a wasteful number, since it uses less digits than its factorization.

11712420720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5470 (or 5458 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

Subtracting from 11712420720 its reverse (2702421711), we obtain a palindrome (9009999009).

The spelling of 11712420720 in words is "eleven billion, seven hundred twelve million, four hundred twenty thousand, seven hundred twenty".