1791122112 has 224 divisors, whose sum is σ = 5755599360. Its totient is φ = 542868480.

The previous prime is 1791122093. The next prime is 1791122119. The reversal of 1791122112 is 2112211971.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1791122119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1594383 + ... + 1595505.

It is an arithmetic number, because the mean of its divisors is an integer number (25694640).

Almost surely, 2^1791122112 is an apocalyptic number.

1791122112 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 1791122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2877799680).

1791122112 is an abundant number, since it is smaller than the sum of its proper divisors (3964477248).

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

1791122112 is a wasteful number, since it uses less digits than its factorization.

1791122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1212 counting only the distinct ones).

The product of its digits is 504, while the sum is 27.

The square root of 1791122112 is about 42321.6506294355. The cubic root of 1791122112 is about 1214.4372092522.

The spelling of 1791122112 in words is "one billion, seven hundred ninety-one million, one hundred twenty-two thousand, one hundred twelve".