1121229620928 has 672 divisors, whose sum is σ = 3649123146240. Its totient is φ = 327064780800.

The previous prime is 1121229620921. The next prime is 1121229620939. The reversal of 1121229620928 is 8290269221211.

1121229620928 is a `hidden beast` number, since 1 + 1 + 2 + 12 + 2 + 9 + 620 + 9 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1121229620921) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3005977350 + ... + 3005977722.

Almost surely, 2^{1121229620928} is an apocalyptic number.

1121229620928 is a gapful number since it is divisible by the number (18) 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 1121229620928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824561573120).

1121229620928 is an abundant number, since it is smaller than the sum of its proper divisors (2527893525312).

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

1121229620928 is a wasteful number, since it uses less digits than its factorization.

1121229620928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 1121229620928 in words is "one trillion, one hundred twenty-one billion, two hundred twenty-nine million, six hundred twenty thousand, nine hundred twenty-eight".