12221011011000 has 192 divisors, whose sum is σ = 41910999006240. Its totient is φ = 2962669248000.

The previous prime is 12221011010891. The next prime is 12221011011007. The reversal of 12221011011000 is 11011012221.

It is a super-2 number, since 2×12221011011000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221011011007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16470349 + ... + 17196348.

Almost surely, 2^{12221011011000} is an apocalyptic number.

12221011011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221011011000 is an abundant number, since it is smaller than the sum of its proper divisors (29689987995240).

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

12221011011000 is a wasteful number, since it uses less digits than its factorization.

12221011011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33666743 (or 33666718 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12221011011000 its reverse (11011012221), we get a palindrome (12232022023221).

The spelling of 12221011011000 in words is "twelve trillion, two hundred twenty-one billion, eleven million, eleven thousand".