114038712 has 128 divisors (see below), whose sum is σ = 330624000. Its totient is φ = 36391680.

The previous prime is 114038711. The next prime is 114038713. The reversal of 114038712 is 217830411.

It is an interprime number because it is at equal distance from previous prime (114038711) and next prime (114038713).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114038711) 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, 699543 + ... + 699705.

It is an arithmetic number, because the mean of its divisors is an integer number (2583000).

Almost surely, 2^114038712 is an apocalyptic number.

114038712 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 114038712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165312000).

114038712 is an abundant number, since it is smaller than the sum of its proper divisors (216585288).

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

114038712 is a wasteful number, since it uses less digits than its factorization.

114038712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 114038712 is about 10678.8909536524. The cubic root of 114038712 is about 484.9356374718.

The spelling of 114038712 in words is "one hundred fourteen million, thirty-eight thousand, seven hundred twelve".