1153207120 has 160 divisors (see below), whose sum is σ = 3096801792. Its totient is φ = 395974656.

The previous prime is 1153207093. The next prime is 1153207151. The reversal of 1153207120 is 217023511.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1153207091 and 1153207100.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 884389 + ... + 885691.

Almost surely, 2^1153207120 is an apocalyptic number.

1153207120 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 1153207120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548400896).

1153207120 is an abundant number, since it is smaller than the sum of its proper divisors (1943594672).

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

1153207120 is a wasteful number, since it uses less digits than its factorization.

1153207120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 1153207120 is about 33958.9033980781. The cubic root of 1153207120 is about 1048.6625814130.

The spelling of 1153207120 in words is "one billion, one hundred fifty-three million, two hundred seven thousand, one hundred twenty".