114012121310241 has 32 divisors (see below), whose sum is σ = 189537382579200. Its totient is φ = 59223719954880.

The previous prime is 114012121310239. The next prime is 114012121310249. The reversal of 114012121310241 is 142013121210411.

114012121310241 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 114012121310241 - 2¹ = 114012121310239 is a prime.

It is a super-2 number, since 2×114012121310241² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114012121310249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9895486 + ... + 18053943.

It is an arithmetic number, because the mean of its divisors is an integer number (5923043205600).

Almost surely, 2^{114012121310241} is an apocalyptic number.

114012121310241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114012121310241 is a deficient number, since it is larger than the sum of its proper divisors (75525261268959).

114012121310241 is a wasteful number, since it uses less digits than its factorization.

114012121310241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27967109.

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 114012121310241 its reverse (142013121210411), we get a palindrome (256025242520652).

The spelling of 114012121310241 in words is "one hundred fourteen trillion, twelve billion, one hundred twenty-one million, three hundred ten thousand, two hundred forty-one".