114003202120 has 16 divisors (see below), whose sum is σ = 256507204860. Its totient is φ = 45601280832.

The previous prime is 114003202097. The next prime is 114003202123. The reversal of 114003202120 is 21202300411.

It can be written as a sum of positive squares in 2 ways, for example, as 99652599684 + 14350602436 = 315678^2 + 119794^2 .

It is a super-2 number, since 2×114003202120² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114003202094 and 114003202103.

It is not an unprimeable number, because it can be changed into a prime (114003202123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1425039987 + ... + 1425040066.

Almost surely, 2^114003202120 is an apocalyptic number.

114003202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114003202120 is an abundant number, since it is smaller than the sum of its proper divisors (142504002740).

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

114003202120 is a wasteful number, since it uses less digits than its factorization.

114003202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2850080064 (or 2850080060 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 114003202120 its reverse (21202300411), we get a palindrome (135205502531).

The spelling of 114003202120 in words is "one hundred fourteen billion, three million, two hundred two thousand, one hundred twenty".