12117600000 has 1080 divisors, whose sum is σ = 52166567376. Its totient is φ = 2764800000.

The previous prime is 12117599981. The next prime is 12117600029. The reversal of 12117600000 is 671121.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 712799992 + ... + 712800008.

Almost surely, 2^12117600000 is an apocalyptic number.

12117600000 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 12117600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26083283688).

12117600000 is an abundant number, since it is smaller than the sum of its proper divisors (40048967376).

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

12117600000 is an frugal number, since it uses more digits than its factorization.

12117600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The spelling of 12117600000 in words is "twelve billion, one hundred seventeen million, six hundred thousand".