114124042133232 has 160 divisors (see below), whose sum is σ = 310617039237120. Its totient is φ = 36006698684160.

The previous prime is 114124042133203. The next prime is 114124042133239. The reversal of 114124042133232 is 232331240421411.

It is a junction number, because it is equal to n+sod(n) for n = 114124042133193 and 114124042133202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114124042133239) 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, 7932434743 + ... + 7932449129.

It is an arithmetic number, because the mean of its divisors is an integer number (1941356495232).

Almost surely, 2^{114124042133232} is an apocalyptic number.

114124042133232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114124042133232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155308519618560).

114124042133232 is an abundant number, since it is smaller than the sum of its proper divisors (196492997103888).

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

114124042133232 is a wasteful number, since it uses less digits than its factorization.

114124042133232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21651 (or 21645 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 114124042133232 its reverse (232331240421411), we get a palindrome (346455282554643).

The spelling of 114124042133232 in words is "one hundred fourteen trillion, one hundred twenty-four billion, forty-two million, one hundred thirty-three thousand, two hundred thirty-two".