12211121011000 has 64 divisors (see below), whose sum is σ = 28594717220160. Its totient is φ = 4880910960000.

The previous prime is 12211121010967. The next prime is 12211121011003. The reversal of 12211121011000 is 11012111221.

It is a happy number.

It is a super-2 number, since 2×12211121011000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211121011003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3040116 + ... + 5802115.

It is an arithmetic number, because the mean of its divisors is an integer number (446792456565).

Almost surely, 2^{12211121011000} is an apocalyptic number.

12211121011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211121011000 is an abundant number, since it is smaller than the sum of its proper divisors (16383596209160).

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

12211121011000 is a wasteful number, since it uses less digits than its factorization.

12211121011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8843633 (or 8843619 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12211121011000 its reverse (11012111221), we get a palindrome (12222133122221).

The spelling of 12211121011000 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-one million, eleven thousand".