1121643032832 has 432 divisors, whose sum is σ = 3876493420800. Its totient is φ = 304960094208.

The previous prime is 1121643032803. The next prime is 1121643032833. The reversal of 1121643032832 is 2382303461211.

1121643032832 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 643 + 0 + 3 + 2 + 8 + 3 + 2 = 666.

It is a super-3 number, since 3×1121643032832³ (a number of 37 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1121643032833) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 73068294 + ... + 73083642.

It is an arithmetic number, because the mean of its divisors is an integer number (8973364400).

Almost surely, 2^{1121643032832} is an apocalyptic number.

1121643032832 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 1121643032832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938246710400).

1121643032832 is an abundant number, since it is smaller than the sum of its proper divisors (2754850387968).

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

1121643032832 is a wasteful number, since it uses less digits than its factorization.

1121643032832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15598 (or 15581 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 1121643032832 in words is "one trillion, one hundred twenty-one billion, six hundred forty-three million, thirty-two thousand, eight hundred thirty-two".