120212000 has 96 divisors (see below), whose sum is σ = 302977584. Its totient is φ = 46848000.

The previous prime is 120211979. The next prime is 120212023. The reversal of 120212000 is 212021.

It can be written as a sum of positive squares in 8 ways, for example, as 5550736 + 114661264 = 2356^2 + 10708^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163634 + ... + 164366.

Almost surely, 2^120212000 is an apocalyptic number.

120212000 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 120212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151488792).

120212000 is an abundant number, since it is smaller than the sum of its proper divisors (182765584).

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

120212000 is an equidigital number, since it uses as much as digits as its factorization.

120212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 781 counting only the distinct ones).

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

The square root of 120212000 is about 10964.1233119662. The cubic root of 120212000 is about 493.5327089598.

Adding to 120212000 its reverse (212021), we get a palindrome (120424021).

The spelling of 120212000 in words is "one hundred twenty million, two hundred twelve thousand".