1221153582192 has 160 divisors (see below), whose sum is σ = 3415813040640. Its totient is φ = 374658048000.

The previous prime is 1221153582149. The next prime is 1221153582241. The reversal of 1221153582192 is 2912853511221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8943717 + ... + 9079227.

It is an arithmetic number, because the mean of its divisors is an integer number (21348831504).

Almost surely, 2^{1221153582192} is an apocalyptic number.

1221153582192 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 1221153582192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707906520320).

1221153582192 is an abundant number, since it is smaller than the sum of its proper divisors (2194659458448).

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

1221153582192 is a wasteful number, since it uses less digits than its factorization.

1221153582192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135823 (or 135817 counting only the distinct ones).

The product of its digits is 86400, while the sum is 42.

The spelling of 1221153582192 in words is "one trillion, two hundred twenty-one billion, one hundred fifty-three million, five hundred eighty-two thousand, one hundred ninety-two".