1121904756000 has 1728 divisors, whose sum is σ = 4902408935424. Its totient is φ = 246903552000.

The previous prime is 1121904755963. The next prime is 1121904756023. The reversal of 1121904756000 is 6574091211.

1121904756000 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 9 + 0 + 47 + 5 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5694947902 + ... + 5694948098.

It is an arithmetic number, because the mean of its divisors is an integer number (2837042208).

Almost surely, 2^{1121904756000} is an apocalyptic number.

1121904756000 is a gapful number since it is divisible by the number (10) 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 1121904756000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451204467712).

1121904756000 is an abundant number, since it is smaller than the sum of its proper divisors (3780504179424).

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

1121904756000 is an frugal number, since it uses more digits than its factorization.

1121904756000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 1121904756000 in words is "one trillion, one hundred twenty-one billion, nine hundred four million, seven hundred fifty-six thousand".