114133210120 has 32 divisors (see below), whose sum is σ = 257022549720. Its totient is φ = 45613670400.

The previous prime is 114133210099. The next prime is 114133210129. The reversal of 114133210120 is 21012331411.

114133210120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 114083168644 + 50041476 = 337762^2 + 7074^2 .

It is not an unprimeable number, because it can be changed into a prime (114133210129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1191231 + ... + 1283470.

Almost surely, 2^114133210120 is an apocalyptic number.

114133210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114133210120 is an abundant number, since it is smaller than the sum of its proper divisors (142889339600).

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

114133210120 is a wasteful number, since it uses less digits than its factorization.

114133210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475865 (or 2475861 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 114133210120 its reverse (21012331411), we get a palindrome (135145541531).

The spelling of 114133210120 in words is "one hundred fourteen billion, one hundred thirty-three million, two hundred ten thousand, one hundred twenty".