114011014120 has 64 divisors (see below), whose sum is σ = 272542741200. Its totient is φ = 42841774080.

The previous prime is 114011014093. The next prime is 114011014151. The reversal of 114011014120 is 21410110411.

It can be written as a sum of positive squares in 8 ways, for example, as 85265168004 + 28745846116 = 292002^2 + 169546^2 .

It is a super-2 number, since 2×114011014120² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114011014094 and 114011014103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1285261 + ... + 1371100.

Almost surely, 2^114011014120 is an apocalyptic number.

114011014120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114011014120 is an abundant number, since it is smaller than the sum of its proper divisors (158531727080).

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

114011014120 is a wasteful number, since it uses less digits than its factorization.

114011014120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656438 (or 2656434 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 114011014120 its reverse (21410110411), we get a palindrome (135421124531).

The spelling of 114011014120 in words is "one hundred fourteen billion, eleven million, fourteen thousand, one hundred twenty".