12017693952 has 720 divisors, whose sum is σ = 42737587200. Its totient is φ = 3319418880.

The previous prime is 12017693939. The next prime is 12017693983. The reversal of 12017693952 is 25939671021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12017693898 and 12017693907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 203689699 + ... + 203689757.

It is an arithmetic number, because the mean of its divisors is an integer number (59357760).

Almost surely, 2^12017693952 is an apocalyptic number.

12017693952 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 12017693952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21368793600).

12017693952 is an abundant number, since it is smaller than the sum of its proper divisors (30719893248).

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

12017693952 is a wasteful number, since it uses less digits than its factorization.

12017693952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 12017693952 in words is "twelve billion, seventeen million, six hundred ninety-three thousand, nine hundred fifty-two".