12211222110000 has 400 divisors, whose sum is σ = 40664030145024. Its totient is φ = 3154294656000.

The previous prime is 12211222109903. The next prime is 12211222110023. The reversal of 12211222110000 is 1122211221.

12211222110000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×12211222110000² (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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 251945769 + ... + 251994231.

Almost surely, 2^{12211222110000} is an apocalyptic number.

12211222110000 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 12211222110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20332015072512).

12211222110000 is an abundant number, since it is smaller than the sum of its proper divisors (28452808035024).

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

12211222110000 is a wasteful number, since it uses less digits than its factorization.

12211222110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48758 (or 48737 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12211222110000 its reverse (1122211221), we get a palindrome (12212344321221).

The spelling of 12211222110000 in words is "twelve trillion, two hundred eleven billion, two hundred twenty-two million, one hundred ten thousand".