114012435142200 has 192 divisors, whose sum is σ = 406044588625920. Its totient is φ = 25923545280000.

The previous prime is 114012435142159. The next prime is 114012435142237. The reversal of 114012435142200 is 2241534210411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70260151 + ... + 71864550.

It is an arithmetic number, because the mean of its divisors is an integer number (2114815565760).

Almost surely, 2^{114012435142200} is an apocalyptic number.

114012435142200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114012435142200 is an abundant number, since it is smaller than the sum of its proper divisors (292032153483720).

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

114012435142200 is a wasteful number, since it uses less digits than its factorization.

114012435142200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142124918 (or 142124909 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 114012435142200 its reverse (2241534210411), we get a palindrome (116253969352611).

The spelling of 114012435142200 in words is "one hundred fourteen trillion, twelve billion, four hundred thirty-five million, one hundred forty-two thousand, two hundred".