12211201021000 has 64 divisors (see below), whose sum is σ = 28739379642480. Its totient is φ = 4856246348800.

The previous prime is 12211201020971. The next prime is 12211201021003. The reversal of 12211201021000 is 12010211221.

It can be written as a sum of positive squares in 8 ways, for example, as 1812033669924 + 10399167351076 = 1346118^2 + 3224774^2 .

It is a super-2 number, since 2×12211201021000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12211201021003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35119489 + ... + 35465488.

Almost surely, 2^{12211201021000} is an apocalyptic number.

12211201021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211201021000 is an abundant number, since it is smaller than the sum of its proper divisors (16528178621480).

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

12211201021000 is a wasteful number, since it uses less digits than its factorization.

12211201021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70585171 (or 70585157 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12211201021000 its reverse (12010211221), we get a palindrome (12223211232221).

The spelling of 12211201021000 in words is "twelve trillion, two hundred eleven billion, two hundred one million, twenty-one thousand".