12022101221000 has 256 divisors, whose sum is σ = 31383441835200. Its totient is φ = 4281987072000.

The previous prime is 12022101220951. The next prime is 12022101221069. The reversal of 12022101221000 is 12210122021.

12022101221000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 32 ways, for example, as 10745061097156 + 1277040123844 = 3277966^2 + 1130062^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47310284 + ... + 47563716.

Almost surely, 2^{12022101221000} is an apocalyptic number.

12022101221000 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 12022101221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15691720917600).

12022101221000 is an abundant number, since it is smaller than the sum of its proper divisors (19361340614200).

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

12022101221000 is a wasteful number, since it uses less digits than its factorization.

12022101221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253597 (or 253583 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12022101221000 its reverse (12210122021), we get a palindrome (12034311343021).

The spelling of 12022101221000 in words is "twelve trillion, twenty-two billion, one hundred one million, two hundred twenty-one thousand".