114112030120000 has 560 divisors, whose sum is σ = 327063568506048. Its totient is φ = 39027957760000.

The previous prime is 114112030119961. The next prime is 114112030120003. The reversal of 114112030120000 is 21030211411.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (114112030120003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13366755732 + ... + 13366764268.

Almost surely, 2^{114112030120000} is an apocalyptic number.

114112030120000 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 114112030120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163531784253024).

114112030120000 is an abundant number, since it is smaller than the sum of its proper divisors (212951538386048).

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

114112030120000 is a wasteful number, since it uses less digits than its factorization.

114112030120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10384 (or 10359 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 114112030120000 its reverse (21030211411), we get a palindrome (114133060331411).

The spelling of 114112030120000 in words is "one hundred fourteen trillion, one hundred twelve billion, thirty million, one hundred twenty thousand".