114712000 has 112 divisors (see below), whose sum is σ = 306214272. Its totient is φ = 42316800.

The previous prime is 114711983. The next prime is 114712001. The reversal of 114712000 is 217411.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114712001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103449 + ... + 104551.

It is an arithmetic number, because the mean of its divisors is an integer number (2734056).

Almost surely, 2^114712000 is an apocalyptic number.

114712000 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 114712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153107136).

114712000 is an abundant number, since it is smaller than the sum of its proper divisors (191502272).

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

114712000 is a wasteful number, since it uses less digits than its factorization.

114712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 114712000 is about 10710.3688078422. The cubic root of 114712000 is about 485.8881236383. Note that the first 3 decimals are identical.

Adding to 114712000 its reverse (217411), we get a palindrome (114929411).

The spelling of 114712000 in words is "one hundred fourteen million, seven hundred twelve thousand".