12007973952 has 560 divisors, whose sum is σ = 40976044032. Its totient is φ = 3448811520.

The previous prime is 12007973947. The next prime is 12007973981. The reversal of 12007973952 is 25937970021.

It is a junction number, because it is equal to n+sod(n) for n = 12007973898 and 12007973907.

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, 94550913 + ... + 94551039.

Almost surely, 2^12007973952 is an apocalyptic number.

12007973952 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 12007973952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20488022016).

12007973952 is an abundant number, since it is smaller than the sum of its proper divisors (28968070080).

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

12007973952 is a wasteful number, since it uses less digits than its factorization.

12007973952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 12007973952 in words is "twelve billion, seven million, nine hundred seventy-three thousand, nine hundred fifty-two".