1129211725824 has 1920 divisors, whose sum is σ = 4546186444800. Its totient is φ = 270888468480.

The previous prime is 1129211725819. The next prime is 1129211725849. The reversal of 1129211725824 is 4285271129211.

1129211725824 is a `hidden beast` number, since 11 + 29 + 21 + 17 + 2 + 582 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1129211725824.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 8891430849 + ... + 8891430975.

It is an arithmetic number, because the mean of its divisors is an integer number (2367805440).

Almost surely, 2^{1129211725824} is an apocalyptic number.

1129211725824 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 1129211725824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273093222400).

1129211725824 is an abundant number, since it is smaller than the sum of its proper divisors (3416974718976).

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

1129211725824 is a wasteful number, since it uses less digits than its factorization.

1129211725824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 202 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The spelling of 1129211725824 in words is "one trillion, one hundred twenty-nine billion, two hundred eleven million, seven hundred twenty-five thousand, eight hundred twenty-four".