12946500 has 192 divisors, whose sum is σ = 48222720. Its totient is φ = 2937600.

The previous prime is 12946487. The next prime is 12946517. The reversal of 12946500 is 564921.

12946500 is a `hidden beast` number, since 1 + 2 + 9 + 4 + 650 + 0 = 666.

It is a super-2 number, since 2×12946500² = 335223724500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94432 + ... + 94568.

It is an arithmetic number, because the mean of its divisors is an integer number (251160).

Almost surely, 2^12946500 is an apocalyptic number.

12946500 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 12946500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24111360).

12946500 is an abundant number, since it is smaller than the sum of its proper divisors (35276220).

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

12946500 is a wasteful number, since it uses less digits than its factorization.

12946500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 12946500 is about 3598.1245114643. The cubic root of 12946500 is about 234.8104703919.

The spelling of 12946500 in words is "twelve million, nine hundred forty-six thousand, five hundred".