1120219296 has 96 divisors (see below), whose sum is σ = 3373695360. Its totient is φ = 318821376.

The previous prime is 1120219277. The next prime is 1120219313. The reversal of 1120219296 is 6929120211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1120219296² = 2509782542261471232, which contains 22 as substring.

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, 177670 + ... + 183866.

It is an arithmetic number, because the mean of its divisors is an integer number (35142660).

Almost surely, 2^1120219296 is an apocalyptic number.

1120219296 is a gapful number since it is divisible by the number (16) 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 1120219296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686847680).

1120219296 is an abundant number, since it is smaller than the sum of its proper divisors (2253476064).

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

1120219296 is a wasteful number, since it uses less digits than its factorization.

1120219296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6486 (or 6478 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 1120219296 is about 33469.6772616648. The cubic root of 1120219296 is about 1038.5665953033.

The spelling of 1120219296 in words is "one billion, one hundred twenty million, two hundred nineteen thousand, two hundred ninety-six".