120133000 has 64 divisors (see below), whose sum is σ = 302767920. Its totient is φ = 44352000.

The previous prime is 120132997. The next prime is 120133003. The reversal of 120133000 is 331021.

It is an interprime number because it is at equal distance from previous prime (120132997) and next prime (120133003).

It can be written as a sum of positive squares in 8 ways, for example, as 12264004 + 107868996 = 3502^2 + 10386^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (120133003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8380 + ... + 17620.

Almost surely, 2^120133000 is an apocalyptic number.

120133000 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 120133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151383960).

120133000 is an abundant number, since it is smaller than the sum of its proper divisors (182634920).

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

120133000 is a wasteful number, since it uses less digits than its factorization.

120133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9275 (or 9261 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 120133000 is about 10960.5200606541. The cubic root of 120133000 is about 493.4245732552.

Adding to 120133000 its reverse (331021), we get a palindrome (120464021).

The spelling of 120133000 in words is "one hundred twenty million, one hundred thirty-three thousand".