12211210003104 has 384 divisors, whose sum is σ = 42548696064000. Its totient is φ = 3331338430464.

The previous prime is 12211210003067. The next prime is 12211210003169. The reversal of 12211210003104 is 40130001211221.

It is a super-2 number, since 2×12211210003104² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 63 ways as a sum of consecutive naturals, for example, 79073037 + ... + 79227315.

It is an arithmetic number, because the mean of its divisors is an integer number (110803896000).

Almost surely, 2^{12211210003104} is an apocalyptic number.

12211210003104 is a gapful number since it is divisible by the number (14) 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 12211210003104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21274348032000).

12211210003104 is an abundant number, since it is smaller than the sum of its proper divisors (30337486060896).

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

12211210003104 is a wasteful number, since it uses less digits than its factorization.

12211210003104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154897 (or 154883 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12211210003104 its reverse (40130001211221), we get a palindrome (52341211214325).

The spelling of 12211210003104 in words is "twelve trillion, two hundred eleven billion, two hundred ten million, three thousand, one hundred four".