12146985600 has 96 divisors (see below), whose sum is σ = 40009165440. Its totient is φ = 3239193600.

The previous prime is 12146985541. The next prime is 12146985601. The reversal of 12146985600 is 658964121.

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

It is not an unprimeable number, because it can be changed into a prime (12146985601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 623056 + ... + 642255.

It is an arithmetic number, because the mean of its divisors is an integer number (416762140).

Almost surely, 2^12146985600 is an apocalyptic number.

12146985600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12146985600 is an abundant number, since it is smaller than the sum of its proper divisors (27862179840).

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

12146985600 is a wasteful number, since it uses less digits than its factorization.

12146985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265338 (or 1265321 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 12146985600 in words is "twelve billion, one hundred forty-six million, nine hundred eighty-five thousand, six hundred".