114202120 has 32 divisors (see below), whose sum is σ = 258264000. Its totient is φ = 45448128.

The previous prime is 114202117. The next prime is 114202139. The reversal of 114202120 is 21202411.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 114202120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 787 + ... + 15133.

It is an arithmetic number, because the mean of its divisors is an integer number (8070750).

Almost surely, 2^114202120 is an apocalyptic number.

114202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114202120 is an abundant number, since it is smaller than the sum of its proper divisors (144061880).

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

114202120 is a wasteful number, since it uses less digits than its factorization.

114202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14557 (or 14553 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 114202120 is about 10686.5391965781. The cubic root of 114202120 is about 485.1671510871.

Adding to 114202120 its reverse (21202411), we get a palindrome (135404531).

The spelling of 114202120 in words is "one hundred fourteen million, two hundred two thousand, one hundred twenty".