114032401200 has 90 divisors (see below), whose sum is σ = 395724120324. Its totient is φ = 30408639360.

The previous prime is 114032401199. The next prime is 114032401229. The reversal of 114032401200 is 2104230411.

114032401200 is a `hidden beast` number, since 1 + 1 + 403 + 240 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×114032401200² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15834234 + ... + 15841433.

Almost surely, 2^114032401200 is an apocalyptic number.

114032401200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114032401200 is an abundant number, since it is smaller than the sum of its proper divisors (281691719124).

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

114032401200 is a wasteful number, since it uses less digits than its factorization.

114032401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31675691 (or 31675677 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 114032401200 its reverse (2104230411), we get a palindrome (116136631611).

The spelling of 114032401200 in words is "one hundred fourteen billion, thirty-two million, four hundred one thousand, two hundred".