12946705200 has 960 divisors, whose sum is σ = 55331458560. Its totient is φ = 2833920000.

The previous prime is 12946705193. The next prime is 12946705223. The reversal of 12946705200 is 250764921.

12946705200 is a `hidden beast` number, since 1 + 29 + 46 + 70 + 520 + 0 = 666.

It is a super-3 number, since 3×12946705200³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 128185150 + ... + 128185250.

It is an arithmetic number, because the mean of its divisors is an integer number (57636936).

Almost surely, 2^12946705200 is an apocalyptic number.

12946705200 is a gapful number since it is divisible by the number (10) 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 12946705200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27665729280).

12946705200 is an abundant number, since it is smaller than the sum of its proper divisors (42384753360).

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

12946705200 is a wasteful number, since it uses less digits than its factorization.

12946705200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 12946705200 in words is "twelve billion, nine hundred forty-six million, seven hundred five thousand, two hundred".