1121082966432 has 288 divisors, whose sum is σ = 3746873422656. Its totient is φ = 313469337600.

The previous prime is 1121082966403. The next prime is 1121082966461. The reversal of 1121082966432 is 2346692801211.

1121082966432 is a `hidden beast` number, since 1 + 121 + 0 + 8 + 2 + 96 + 6 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (1121082966403) and next prime (1121082966461).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206040832 + ... + 206046272.

It is an arithmetic number, because the mean of its divisors is an integer number (13009977162).

Almost surely, 2^{1121082966432} is an apocalyptic number.

1121082966432 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 1121082966432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873436711328).

1121082966432 is an abundant number, since it is smaller than the sum of its proper divisors (2625790456224).

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

1121082966432 is a wasteful number, since it uses less digits than its factorization.

1121082966432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10484 (or 10473 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1121082966432 in words is "one trillion, one hundred twenty-one billion, eighty-two million, nine hundred sixty-six thousand, four hundred thirty-two".