12211133331300 has 144 divisors (see below), whose sum is σ = 36131331821760. Its totient is φ = 3182984629760.

The previous prime is 12211133331277. The next prime is 12211133331323. The reversal of 12211133331300 is 313333111221.

It is an interprime number because it is at equal distance from previous prime (12211133331277) and next prime (12211133331323).

It is a super-2 number, since 2×12211133331300² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2849599 + ... + 5704601.

It is an arithmetic number, because the mean of its divisors is an integer number (250912026540).

Almost surely, 2^{12211133331300} is an apocalyptic number.

12211133331300 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 12211133331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18065665910880).

12211133331300 is an abundant number, since it is smaller than the sum of its proper divisors (23920198490460).

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

12211133331300 is a wasteful number, since it uses less digits than its factorization.

12211133331300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855342 (or 2855335 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 12211133331300 its reverse (313333111221), we get a palindrome (12524466442521).

The spelling of 12211133331300 in words is "twelve trillion, two hundred eleven billion, one hundred thirty-three million, three hundred thirty-one thousand, three hundred".