114012210432 has 72 divisors (see below), whose sum is σ = 303951662784. Its totient is φ = 37939830784.

The previous prime is 114012210419. The next prime is 114012210437. The reversal of 114012210432 is 234012210411.

It is a super-3 number, since 3×114012210432³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114012210399 and 114012210408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114012210437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 330253 + ... + 580595.

It is an arithmetic number, because the mean of its divisors is an integer number (4221550872).

Almost surely, 2^114012210432 is an apocalyptic number.

114012210432 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 114012210432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151975831392).

114012210432 is an abundant number, since it is smaller than the sum of its proper divisors (189939452352).

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

114012210432 is an equidigital number, since it uses as much as digits as its factorization.

114012210432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250955 (or 250941 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Subtracting from 114012210432 its sum of digits (21), we obtain a palindrome (114012210411).

Adding to 114012210432 its reverse (234012210411), we get a palindrome (348024420843).

The spelling of 114012210432 in words is "one hundred fourteen billion, twelve million, two hundred ten thousand, four hundred thirty-two".