1233285120 has 156 divisors (see below), whose sum is σ = 4275505416. Its totient is φ = 328826880.

The previous prime is 1233285091. The next prime is 1233285127. The reversal of 1233285120 is 215823321.

1233285120 is a `hidden beast` number, since 123 + 3 + 28 + 512 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1233285127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180975 + ... + 187665.

It is an arithmetic number, because the mean of its divisors is an integer number (27407086).

Almost surely, 2^1233285120 is an apocalyptic number.

1233285120 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 1233285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137752708).

1233285120 is an abundant number, since it is smaller than the sum of its proper divisors (3042220296).

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

1233285120 is an equidigital number, since it uses as much as digits as its factorization.

1233285120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6726 (or 6701 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1233285120 is about 35118.1594050713. The cubic root of 1233285120 is about 1072.3943006335.

The spelling of 1233285120 in words is "one billion, two hundred thirty-three million, two hundred eighty-five thousand, one hundred twenty".