12120401003200 has 336 divisors, whose sum is σ = 34248517329600. Its totient is φ = 4135580467200.

The previous prime is 12120401003189. The next prime is 12120401003201. The reversal of 12120401003200 is 230010402121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12120401003201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3883497640 + ... + 3883500760.

It is an arithmetic number, because the mean of its divisors is an integer number (101930111100).

Almost surely, 2^{12120401003200} is an apocalyptic number.

12120401003200 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 12120401003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17124258664800).

12120401003200 is an abundant number, since it is smaller than the sum of its proper divisors (22128116326400).

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

12120401003200 is a wasteful number, since it uses less digits than its factorization.

12120401003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4708 (or 4693 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12120401003200 its reverse (230010402121), we get a palindrome (12350411405321).

The spelling of 12120401003200 in words is "twelve trillion, one hundred twenty billion, four hundred one million, three thousand, two hundred".