114912000 has 576 divisors, whose sum is σ = 510182400. Its totient is φ = 24883200.

The previous prime is 114911989. The next prime is 114912011. The reversal of 114912000 is 219411.

It is an interprime number because it is at equal distance from previous prime (114911989) and next prime (114912011).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6047991 + ... + 6048009.

Almost surely, 2^114912000 is an apocalyptic number.

114912000 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 114912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255091200).

114912000 is an abundant number, since it is smaller than the sum of its proper divisors (395270400).

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

114912000 is an equidigital number, since it uses as much as digits as its factorization.

114912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 114912000 is about 10719.7014883811. The cubic root of 114912000 is about 486.1703411426.

The spelling of 114912000 in words is "one hundred fourteen million, nine hundred twelve thousand".