114004020000 has 360 divisors, whose sum is σ = 404970605424. Its totient is φ = 28060032000.

The previous prime is 114004019993. The next prime is 114004020007. The reversal of 114004020000 is 20400411.

It is an interprime number because it is at equal distance from previous prime (114004019993) and next prime (114004020007).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (114004020007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10134379 + ... + 10145621.

Almost surely, 2^114004020000 is an apocalyptic number.

114004020000 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 114004020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202485302712).

114004020000 is an abundant number, since it is smaller than the sum of its proper divisors (290966585424).

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

114004020000 is a wasteful number, since it uses less digits than its factorization.

114004020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11302 (or 11266 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 114004020000 its reverse (20400411), we get a palindrome (114024420411).

The spelling of 114004020000 in words is "one hundred fourteen billion, four million, twenty thousand".