114324121032 has 256 divisors, whose sum is σ = 341852037120. Its totient is φ = 31455129600.

The previous prime is 114324120973. The next prime is 114324121039. The reversal of 114324121032 is 230121423411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 114324120993 and 114324121011.

It is not an unprimeable number, because it can be changed into a prime (114324121039) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51893643 + ... + 51895845.

It is an arithmetic number, because the mean of its divisors is an integer number (1335359520).

Almost surely, 2^114324121032 is an apocalyptic number.

114324121032 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 114324121032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170926018560).

114324121032 is an abundant number, since it is smaller than the sum of its proper divisors (227527916088).

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

114324121032 is a wasteful number, since it uses less digits than its factorization.

114324121032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 114324121032 its reverse (230121423411), we get a palindrome (344445544443).

The spelling of 114324121032 in words is "one hundred fourteen billion, three hundred twenty-four million, one hundred twenty-one thousand, thirty-two".