1121205792 has 96 divisors (see below), whose sum is σ = 3420748800. Its totient is φ = 314903808.

The previous prime is 1121205781. The next prime is 1121205793. The reversal of 1121205792 is 2975021211.

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

It is not an unprimeable number, because it can be changed into a prime (1121205793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25509 + ... + 53787.

It is an arithmetic number, because the mean of its divisors is an integer number (35632800).

Almost surely, 2^1121205792 is an apocalyptic number.

1121205792 is a gapful number since it is divisible by the number (12) 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 1121205792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710374400).

1121205792 is an abundant number, since it is smaller than the sum of its proper divisors (2299543008).

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

1121205792 is a wasteful number, since it uses less digits than its factorization.

1121205792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28358 (or 28350 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 1121205792 is about 33484.4111789352. The cubic root of 1121205792 is about 1038.8713693168.

The spelling of 1121205792 in words is "one billion, one hundred twenty-one million, two hundred five thousand, seven hundred ninety-two".