1101224990944 has 96 divisors (see below), whose sum is σ = 2373832440000. Its totient is φ = 499768012800.

The previous prime is 1101224990939. The next prime is 1101224990981. The reversal of 1101224990944 is 4490994221011.

It is a happy number.

It is a super-2 number, since 2×1101224990944² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1101224990894 and 1101224990903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126850284 + ... + 126858964.

It is an arithmetic number, because the mean of its divisors is an integer number (24727421250).

Almost surely, 2^{1101224990944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101224990944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186916220000).

1101224990944 is an abundant number, since it is smaller than the sum of its proper divisors (1272607449056).

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

1101224990944 is a wasteful number, since it uses less digits than its factorization.

1101224990944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13764 (or 13756 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The spelling of 1101224990944 in words is "one trillion, one hundred one billion, two hundred twenty-four million, nine hundred ninety thousand, nine hundred forty-four".