1120826721672 has 576 divisors, whose sum is σ = 3795728040000. Its totient is φ = 297007119360.

The previous prime is 1120826721647. The next prime is 1120826721683. The reversal of 1120826721672 is 2761276280211.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1099927579 + ... + 1099928597.

It is an arithmetic number, because the mean of its divisors is an integer number (6589805625).

Almost surely, 2^{1120826721672} is an apocalyptic number.

1120826721672 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 1120826721672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897864020000).

1120826721672 is an abundant number, since it is smaller than the sum of its proper divisors (2674901318328).

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

1120826721672 is a wasteful number, since it uses less digits than its factorization.

1120826721672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 1120826721672 in words is "one trillion, one hundred twenty billion, eight hundred twenty-six million, seven hundred twenty-one thousand, six hundred seventy-two".