12146976 has 96 divisors (see below), whose sum is σ = 37558080. Its totient is φ = 3806208.

The previous prime is 12146971. The next prime is 12146983. The reversal of 12146976 is 67964121.

12146976 is a `hidden beast` number, since 121 + 469 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12146976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12146971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14275 + ... + 15101.

It is an arithmetic number, because the mean of its divisors is an integer number (391230).

Almost surely, 2^12146976 is an apocalyptic number.

12146976 is a gapful number since it is divisible by the number (16) 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 12146976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18779040).

12146976 is an abundant number, since it is smaller than the sum of its proper divisors (25411104).

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

12146976 is a wasteful number, since it uses less digits than its factorization.

12146976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 849 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 12146976 is about 3485.2512104582. The cubic root of 12146976 is about 229.8737555452.

The spelling of 12146976 in words is "twelve million, one hundred forty-six thousand, nine hundred seventy-six".