12002001221100 has 576 divisors, whose sum is σ = 39268536652800. Its totient is φ = 2804951040000.

The previous prime is 12002001221083. The next prime is 12002001221107. The reversal of 12002001221100 is 112210020021.

It is a super-2 number, since 2×12002001221100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12002001221107) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11441373376 + ... + 11441374424.

It is an arithmetic number, because the mean of its divisors is an integer number (68174542800).

Almost surely, 2^{12002001221100} is an apocalyptic number.

12002001221100 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 12002001221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19634268326400).

12002001221100 is an abundant number, since it is smaller than the sum of its proper divisors (27266535431700).

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

12002001221100 is a wasteful number, since it uses less digits than its factorization.

12002001221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12002001221100 its reverse (112210020021), we get a palindrome (12114211241121).

The spelling of 12002001221100 in words is "twelve trillion, two billion, one million, two hundred twenty-one thousand, one hundred".