1147013120 has 192 divisors, whose sum is σ = 3184272000. Its totient is φ = 391905280.

The previous prime is 1147013083. The next prime is 1147013207. The reversal of 1147013120 is 213107411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1147013092 and 1147013101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1914581 + ... + 1915179.

It is an arithmetic number, because the mean of its divisors is an integer number (16584750).

Almost surely, 2^1147013120 is an apocalyptic number.

1147013120 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 1147013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592136000).

1147013120 is an abundant number, since it is smaller than the sum of its proper divisors (2037258880).

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

1147013120 is a wasteful number, since it uses less digits than its factorization.

1147013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 1147013120 is about 33867.5821398576. The cubic root of 1147013120 is about 1046.7817166097.

The spelling of 1147013120 in words is "one billion, one hundred forty-seven million, thirteen thousand, one hundred twenty".