120090000 has 100 divisors (see below), whose sum is σ = 387763376. Its totient is φ = 32016000.

The previous prime is 120089993. The next prime is 120090007. The reversal of 120090000 is 90021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120089993) and next prime (120090007).

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (120090007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27999 + ... + 32001.

Almost surely, 2^120090000 is an apocalyptic number.

120090000 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 120090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193881688).

120090000 is an abundant number, since it is smaller than the sum of its proper divisors (267673376).

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

120090000 is an equidigital number, since it uses as much as digits as its factorization.

120090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4034 (or 4013 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 120090000 is about 10958.5582993385. The cubic root of 120090000 is about 493.3656946550.

The spelling of 120090000 in words is "one hundred twenty million, ninety thousand".