12117911520 has 384 divisors, whose sum is σ = 45704590848. Its totient is φ = 2659737600.

The previous prime is 12117911513. The next prime is 12117911527. The reversal of 12117911520 is 2511971121.

It is an interprime number because it is at equal distance from previous prime (12117911513) and next prime (12117911527).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12117911527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3636255 + ... + 3639585.

It is an arithmetic number, because the mean of its divisors is an integer number (119022372).

Almost surely, 2^12117911520 is an apocalyptic number.

12117911520 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 12117911520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22852295424).

12117911520 is an abundant number, since it is smaller than the sum of its proper divisors (33586679328).

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

12117911520 is a wasteful number, since it uses less digits than its factorization.

12117911520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3426 (or 3418 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 30.

The spelling of 12117911520 in words is "twelve billion, one hundred seventeen million, nine hundred eleven thousand, five hundred twenty".