12211001202400 has 576 divisors, whose sum is σ = 40116273394176. Its totient is φ = 3505222656000.

The previous prime is 12211001202331. The next prime is 12211001202451. The reversal of 12211001202400 is 420210011221.

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

It is a congruent number.

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, 354737190 + ... + 354771610.

It is an arithmetic number, because the mean of its divisors is an integer number (69646307976).

Almost surely, 2^{12211001202400} is an apocalyptic number.

12211001202400 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 12211001202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20058136697088).

12211001202400 is an abundant number, since it is smaller than the sum of its proper divisors (27905272191776).

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

12211001202400 is a wasteful number, since it uses less digits than its factorization.

12211001202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34915 (or 34902 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12211001202400 its reverse (420210011221), we get a palindrome (12631211213621).

The spelling of 12211001202400 in words is "twelve trillion, two hundred eleven billion, one million, two hundred two thousand, four hundred".