12114117356000 has 768 divisors, whose sum is σ = 35181874990080. Its totient is φ = 4052505600000.

The previous prime is 12114117355987. The next prime is 12114117356017. The reversal of 12114117356000 is 65371141121.

It is a super-3 number, since 3×12114117356000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 4475106647 + ... + 4475109353.

It is an arithmetic number, because the mean of its divisors is an integer number (45809733060).

Almost surely, 2^{12114117356000} is an apocalyptic number.

12114117356000 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 12114117356000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17590937495040).

12114117356000 is an abundant number, since it is smaller than the sum of its proper divisors (23067757634080).

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

12114117356000 is a wasteful number, since it uses less digits than its factorization.

12114117356000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

Adding to 12114117356000 its reverse (65371141121), we get a palindrome (12179488497121).

The spelling of 12114117356000 in words is "twelve trillion, one hundred fourteen billion, one hundred seventeen million, three hundred fifty-six thousand".