12405012000 has 96 divisors (see below), whose sum is σ = 40638858624. Its totient is φ = 3308000000.

The previous prime is 12405011959. The next prime is 12405012007. The reversal of 12405012000 is 21050421.

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 (15).

It is not an unprimeable number, because it can be changed into a prime (12405012007) 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, 504876 + ... + 528875.

It is an arithmetic number, because the mean of its divisors is an integer number (423321444).

Almost surely, 2^12405012000 is an apocalyptic number.

12405012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12405012000 is an abundant number, since it is smaller than the sum of its proper divisors (28233846624).

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

12405012000 is a wasteful number, since it uses less digits than its factorization.

12405012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033779 (or 1033761 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 12405012000 its reverse (21050421), we get a palindrome (12426062421).

The spelling of 12405012000 in words is "twelve billion, four hundred five million, twelve thousand".