1157120000 has 150 divisors (see below), whose sum is σ = 2917377078. Its totient is φ = 458752000.

The previous prime is 1157119993. The next prime is 1157120023. The reversal of 1157120000 is 217511.

It can be written as a sum of positive squares in 5 ways, for example, as 822083584 + 335036416 = 28672^2 + 18304^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10239944 + ... + 10240056.

Almost surely, 2^1157120000 is an apocalyptic number.

1157120000 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 1157120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458688539).

1157120000 is an abundant number, since it is smaller than the sum of its proper divisors (1760257078).

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

1157120000 is an frugal number, since it uses more digits than its factorization.

1157120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 17.

The square root of 1157120000 is about 34016.4666007509. The cubic root of 1157120000 is about 1049.8472944970.

Adding to 1157120000 its reverse (217511), we get a palindrome (1157337511).

The spelling of 1157120000 in words is "one billion, one hundred fifty-seven million, one hundred twenty thousand".