120014000 has 80 divisors (see below), whose sum is σ = 302927040. Its totient is φ = 45900800.

The previous prime is 120013997. The next prime is 120014003. The reversal of 120014000 is 410021.

It is an interprime number because it is at equal distance from previous prime (120013997) and next prime (120014003).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (120014003) 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, 44696 + ... + 47304.

It is an arithmetic number, because the mean of its divisors is an integer number (3786588).

Almost surely, 2^120014000 is an apocalyptic number.

120014000 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 120014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151463520).

120014000 is an abundant number, since it is smaller than the sum of its proper divisors (182913040).

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

120014000 is a wasteful number, since it uses less digits than its factorization.

120014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 120014000 is about 10955.0901411171. The cubic root of 120014000 is about 493.2615957697.

Adding to 120014000 its reverse (410021), we get a palindrome (120424021).

The spelling of 120014000 in words is "one hundred twenty million, fourteen thousand".