11297133120 has 448 divisors, whose sum is σ = 44672463360. Its totient is φ = 2355167232.

The previous prime is 11297133059. The next prime is 11297133143. The reversal of 11297133120 is 2133179211.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7774314 + ... + 7775766.

It is an arithmetic number, because the mean of its divisors is an integer number (99715320).

Almost surely, 2^11297133120 is an apocalyptic number.

11297133120 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 11297133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22336231680).

11297133120 is an abundant number, since it is smaller than the sum of its proper divisors (33375330240).

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

11297133120 is a wasteful number, since it uses less digits than its factorization.

11297133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The spelling of 11297133120 in words is "eleven billion, two hundred ninety-seven million, one hundred thirty-three thousand, one hundred twenty".