120012000 has 192 divisors, whose sum is σ = 401454144. Its totient is φ = 31334400.

The previous prime is 120011977. The next prime is 120012001. The reversal of 120012000 is 210021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 120012000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120012001) 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, 875932 + ... + 876068.

It is an arithmetic number, because the mean of its divisors is an integer number (2090907).

Almost surely, 2^120012000 is an apocalyptic number.

120012000 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 120012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200727072).

120012000 is an abundant number, since it is smaller than the sum of its proper divisors (281442144).

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

120012000 is a wasteful number, since it uses less digits than its factorization.

120012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 120012000 is about 10954.9988589684. The cubic root of 120012000 is about 493.2588557319.

Adding to 120012000 its reverse (210021), we get a palindrome (120222021).

The spelling of 120012000 in words is "one hundred twenty million, twelve thousand".