120033000 has 96 divisors (see below), whose sum is σ = 405741960. Its totient is φ = 32006400.

The previous prime is 120032993. The next prime is 120033029. The reversal of 120033000 is 330021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 23561316 + 96471684 = 4854^2 + 9822^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2332 + ... + 15668.

Almost surely, 2^120033000 is an apocalyptic number.

120033000 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 120033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202870980).

120033000 is an abundant number, since it is smaller than the sum of its proper divisors (285708960).

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

120033000 is a wasteful number, since it uses less digits than its factorization.

120033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13364 (or 13347 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 120033000 is about 10955.9572835969. The cubic root of 120033000 is about 493.2876246102.

Adding to 120033000 its reverse (330021), we get a palindrome (120363021).

The spelling of 120033000 in words is "one hundred twenty million, thirty-three thousand".