114240022011126 has 128 divisors (see below), whose sum is σ = 281384568230400. Its totient is φ = 34066992960000.

The previous prime is 114240022011097. The next prime is 114240022011163. The reversal of 114240022011126 is 621110220042411.

114240022011126 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 400 + 220 + 1 + 11 + 26 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 114240022011126.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6034026 + ... + 16275426.

It is an arithmetic number, because the mean of its divisors is an integer number (2198316939300).

Almost surely, 2^{114240022011126} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114240022011126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140692284115200).

114240022011126 is an abundant number, since it is smaller than the sum of its proper divisors (167144546219274).

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

114240022011126 is a wasteful number, since it uses less digits than its factorization.

114240022011126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10241723 (or 10241717 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 114240022011126 its reverse (621110220042411), we get a palindrome (735350242053537).

The spelling of 114240022011126 in words is "one hundred fourteen trillion, two hundred forty billion, twenty-two million, eleven thousand, one hundred twenty-six".