1121726844 has 144 divisors (see below), whose sum is σ = 3549873600. Its totient is φ = 291207168.

The previous prime is 1121726843. The next prime is 1121726857. The reversal of 1121726844 is 4486271211.

It is a happy number.

It is a super-2 number, since 2×1121726844² = 2516542225100400672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1121726799 and 1121726808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121726843) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119722 + ... + 128750.

It is an arithmetic number, because the mean of its divisors is an integer number (24651900).

Almost surely, 2^1121726844 is an apocalyptic number.

1121726844 is a gapful number since it is divisible by the number (14) 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 1121726844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774936800).

1121726844 is an abundant number, since it is smaller than the sum of its proper divisors (2428146756).

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

1121726844 is a wasteful number, since it uses less digits than its factorization.

1121726844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9092 (or 9087 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 1121726844 is about 33492.1907912875. The cubic root of 1121726844 is about 1039.0322741146.

The spelling of 1121726844 in words is "one billion, one hundred twenty-one million, seven hundred twenty-six thousand, eight hundred forty-four".