12168817920 has 792 divisors, whose sum is σ = 52140445056. Its totient is φ = 2660511744.

The previous prime is 12168817901. The next prime is 12168817939. The reversal of 12168817920 is 2971886121.

It is an interprime number because it is at equal distance from previous prime (12168817901) and next prime (12168817939).

It is a super-2 number, since 2×12168817920² (a number of 21 digits) contains 22 as substring.

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 87 ways as a sum of consecutive naturals, for example, 529079029 + ... + 529079051.

Almost surely, 2^12168817920 is an apocalyptic number.

12168817920 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 12168817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26070222528).

12168817920 is an abundant number, since it is smaller than the sum of its proper divisors (39971627136).

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

12168817920 is an frugal number, since it uses more digits than its factorization.

12168817920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 12168817920 in words is "twelve billion, one hundred sixty-eight million, eight hundred seventeen thousand, nine hundred twenty".