12000022201000 has 128 divisors (see below), whose sum is σ = 29335943988000. Its totient is φ = 4588604160000.

The previous prime is 12000022200931. The next prime is 12000022201007. The reversal of 12000022201000 is 10222000021.

12000022201000 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 16 ways, for example, as 7085262276 + 11992936938724 = 84174^2 + 3463082^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12000022201007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 880516 + ... + 4977484.

Almost surely, 2^{12000022201000} is an apocalyptic number.

12000022201000 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 12000022201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14667971994000).

12000022201000 is an abundant number, since it is smaller than the sum of its proper divisors (17335921787000).

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

12000022201000 is a wasteful number, since it uses less digits than its factorization.

12000022201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4097120 (or 4097106 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12000022201000 its reverse (10222000021), we get a palindrome (12010244201021).

The spelling of 12000022201000 in words is "twelve trillion, twenty-two million, two hundred one thousand".