114412320 has 288 divisors, whose sum is σ = 441552384. Its totient is φ = 26726400.

The previous prime is 114412307. The next prime is 114412343. The reversal of 114412320 is 23214411.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 114412293 and 114412302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 490924 + ... + 491156.

It is an arithmetic number, because the mean of its divisors is an integer number (1533168).

Almost surely, 2^114412320 is an apocalyptic number.

114412320 is a gapful number since it is divisible by the number (10) 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 114412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220776192).

114412320 is an abundant number, since it is smaller than the sum of its proper divisors (327140064).

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

114412320 is a wasteful number, since it uses less digits than its factorization.

114412320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 114412320 is about 10696.3694775377. The cubic root of 114412320 is about 485.4646342679.

Adding to 114412320 its reverse (23214411), we get a palindrome (137626731).

The spelling of 114412320 in words is "one hundred fourteen million, four hundred twelve thousand, three hundred twenty".