114312111320000 has 280 divisors, whose sum is σ = 309304994718720. Its totient is φ = 41557380480000.

The previous prime is 114312111319969. The next prime is 114312111320053. The reversal of 114312111320000 is 23111213411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1829928767 + ... + 1829991233.

It is an arithmetic number, because the mean of its divisors is an integer number (1104660695424).

Almost surely, 2^{114312111320000} is an apocalyptic number.

114312111320000 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 114312111320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154652497359360).

114312111320000 is an abundant number, since it is smaller than the sum of its proper divisors (194992883398720).

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

114312111320000 is an equidigital number, since it uses as much as digits as its factorization.

114312111320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66669 (or 66644 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 114312111320000 its reverse (23111213411), we get a palindrome (114335222533411).

The spelling of 114312111320000 in words is "one hundred fourteen trillion, three hundred twelve billion, one hundred eleven million, three hundred twenty thousand".