120553000 has 64 divisors (see below), whose sum is σ = 291891600. Its totient is φ = 46547200.

The previous prime is 120552983. The next prime is 120553009. The reversal of 120553000 is 355021.

It can be written as a sum of positive squares in 8 ways, for example, as 3437316 + 117115684 = 1854^2 + 10822^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120553009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26922 + ... + 31078.

Almost surely, 2^120553000 is an apocalyptic number.

120553000 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 120553000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145945800).

120553000 is an abundant number, since it is smaller than the sum of its proper divisors (171338600).

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

120553000 is a wasteful number, since it uses less digits than its factorization.

120553000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4207 (or 4193 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 120553000 is about 10979.6630185084. The cubic root of 120553000 is about 493.9989291174.

The spelling of 120553000 in words is "one hundred twenty million, five hundred fifty-three thousand".