114121129860 has 36 divisors (see below), whose sum is σ = 346167427788. Its totient is φ = 30432301248.

The previous prime is 114121129799. The next prime is 114121129861. The reversal of 114121129860 is 68921121411.

It can be written as a sum of positive squares in 2 ways, for example, as 20396981124 + 93724148736 = 142818^2 + 306144^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (114121129861) 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, 317002959 + ... + 317003318.

It is an arithmetic number, because the mean of its divisors is an integer number (9615761883).

Almost surely, 2^114121129860 is an apocalyptic number.

114121129860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114121129860 is an abundant number, since it is smaller than the sum of its proper divisors (232046297928).

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

114121129860 is a wasteful number, since it uses less digits than its factorization.

114121129860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634006292 (or 634006287 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 114121129860 in words is "one hundred fourteen billion, one hundred twenty-one million, one hundred twenty-nine thousand, eight hundred sixty".