1204552120 has 256 divisors, whose sum is σ = 3193344000. Its totient is φ = 406425600.

The previous prime is 1204552109. The next prime is 1204552121. The reversal of 1204552120 is 212554021.

1204552120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1204552091 and 1204552100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1204552121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28012819 + ... + 28012861.

It is an arithmetic number, because the mean of its divisors is an integer number (12474000).

Almost surely, 2^1204552120 is an apocalyptic number.

1204552120 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 1204552120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596672000).

1204552120 is an abundant number, since it is smaller than the sum of its proper divisors (1988791880).

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

1204552120 is a wasteful number, since it uses less digits than its factorization.

1204552120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 1204552120 is about 34706.6581508505. The cubic root of 1204552120 is about 1064.0005818114. Note that the first 3 decimals are identical.

The spelling of 1204552120 in words is "one billion, two hundred four million, five hundred fifty-two thousand, one hundred twenty".