12001200806400 has 960 divisors, whose sum is σ = 43629180553728. Its totient is φ = 2890205429760.

The previous prime is 12001200806351. The next prime is 12001200806429. The reversal of 12001200806400 is 460800210021.

12001200806400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4433393847 + ... + 4433396553.

Almost surely, 2^{12001200806400} is an apocalyptic number.

12001200806400 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 12001200806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21814590276864).

12001200806400 is an abundant number, since it is smaller than the sum of its proper divisors (31627979747328).

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

12001200806400 is a wasteful number, since it uses less digits than its factorization.

12001200806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2941 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The spelling of 12001200806400 in words is "twelve trillion, one billion, two hundred million, eight hundred six thousand, four hundred".