114122251521 has 12 divisors (see below), whose sum is σ = 166695424740. Its totient is φ = 75226652160.

The previous prime is 114122251487. The next prime is 114122251531. The reversal of 114122251521 is 125152221411.

114122251521 is a `hidden beast` number, since 1 + 1 + 4 + 122 + 2 + 515 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39245591025 + 74876660496 = 198105^2 + 273636^2 .

It is not a de Polignac number, because 114122251521 - 2⁶ = 114122251457 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114122251531) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 71236560 + ... + 71238161.

It is an arithmetic number, because the mean of its divisors is an integer number (13891285395).

Almost surely, 2^114122251521 is an apocalyptic number.

It is an amenable number.

114122251521 is a deficient number, since it is larger than the sum of its proper divisors (52573173219).

114122251521 is a wasteful number, since it uses less digits than its factorization.

114122251521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142474816 (or 142474813 counting only the distinct ones).

The product of its digits is 1600, while the sum is 27.

Adding to 114122251521 its reverse (125152221411), we get a palindrome (239274472932).

The spelling of 114122251521 in words is "one hundred fourteen billion, one hundred twenty-two million, two hundred fifty-one thousand, five hundred twenty-one".