19983117312 has 220 divisors, whose sum is σ = 60366275640. Its totient is φ = 6583762944.

The previous prime is 19983117311. The next prime is 19983117317. The reversal of 19983117312 is 21371138991.

It is a happy number.

19983117312 is a `hidden beast` number, since 19 + 9 + 8 + 311 + 7 + 312 = 666.

It is not an unprimeable number, because it can be changed into a prime (19983117311) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7380663 + ... + 7383369.

It is an arithmetic number, because the mean of its divisors is an integer number (274392162).

Almost surely, 2^19983117312 is an apocalyptic number.

19983117312 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 19983117312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30183137820).

19983117312 is an abundant number, since it is smaller than the sum of its proper divisors (40383158328).

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

19983117312 is an equidigital number, since it uses as much as digits as its factorization.

19983117312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2828 (or 2801 counting only the distinct ones).

The product of its digits is 81648, while the sum is 45.

The spelling of 19983117312 in words is "nineteen billion, nine hundred eighty-three million, one hundred seventeen thousand, three hundred twelve".