114210131121120 has 96 divisors (see below), whose sum is σ = 360742191280128. Its totient is φ = 30373048447488.

The previous prime is 114210131121013. The next prime is 114210131121173. The reversal of 114210131121120 is 21121131012411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×114210131121120² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323989744 + ... + 324342063.

It is an arithmetic number, because the mean of its divisors is an integer number (3757731159168).

Almost surely, 2^{114210131121120} is an apocalyptic number.

114210131121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114210131121120 is an abundant number, since it is smaller than the sum of its proper divisors (246532060159008).

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

114210131121120 is a wasteful number, since it uses less digits than its factorization.

114210131121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648332192 (or 648332184 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 21.

Adding to 114210131121120 its reverse (21121131012411), we get a palindrome (135331262133531).

The spelling of 114210131121120 in words is "one hundred fourteen trillion, two hundred ten billion, one hundred thirty-one million, one hundred twenty-one thousand, one hundred twenty".