12201100202400 has 144 divisors (see below), whose sum is σ = 39734664631200. Its totient is φ = 3251981378560.

The previous prime is 12201100202383. The next prime is 12201100202429. The reversal of 12201100202400 is 420200110221.

It is a super-2 number, since 2×12201100202400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12201100202400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3465166 + ... + 6034034.

It is an arithmetic number, because the mean of its divisors is an integer number (275935171050).

Almost surely, 2^{12201100202400} is an apocalyptic number.

12201100202400 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 12201100202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19867332315600).

12201100202400 is an abundant number, since it is smaller than the sum of its proper divisors (27533564428800).

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

12201100202400 is a wasteful number, since it uses less digits than its factorization.

12201100202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570871 (or 2570858 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12201100202400 its reverse (420200110221), we get a palindrome (12621300312621).

The spelling of 12201100202400 in words is "twelve trillion, two hundred one billion, one hundred million, two hundred two thousand, four hundred".