19021180120992 has 432 divisors, whose sum is σ = 64645189900200. Its totient is φ = 5285955096576.

The previous prime is 19021180120991. The next prime is 19021180121077. The reversal of 19021180120992 is 29902108112091.

It can be written as a sum of positive squares in 4 ways, for example, as 18729541239696 + 291638881296 = 4327764^2 + 540036^2 .

It is not an unprimeable number, because it can be changed into a prime (19021180120991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2588264134 + ... + 2588271482.

Almost surely, 2^{19021180120992} is an apocalyptic number.

19021180120992 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 19021180120992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32322594950100).

19021180120992 is an abundant number, since it is smaller than the sum of its proper divisors (45624009779208).

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

19021180120992 is a wasteful number, since it uses less digits than its factorization.

19021180120992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12373 (or 12355 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 45.

The spelling of 19021180120992 in words is "nineteen trillion, twenty-one billion, one hundred eighty million, one hundred twenty thousand, nine hundred ninety-two".