2200012122000 has 640 divisors, whose sum is σ = 8864808615936. Its totient is φ = 456019200000.

The previous prime is 2200012121953. The next prime is 2200012122001. The reversal of 2200012122000 is 2212100022.

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

It is not an unprimeable number, because it can be changed into a prime (2200012122001) 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 127 ways as a sum of consecutive naturals, for example, 194496345 + ... + 194507655.

Almost surely, 2^{2200012122000} is an apocalyptic number.

2200012122000 is a gapful number since it is divisible by the number (20) 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 2200012122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4432404307968).

2200012122000 is an abundant number, since it is smaller than the sum of its proper divisors (6664796493936).

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

2200012122000 is a wasteful number, since it uses less digits than its factorization.

2200012122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11776 (or 11760 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2200012122000 its reverse (2212100022), we get a palindrome (2202224222022).

The spelling of 2200012122000 in words is "two trillion, two hundred billion, twelve million, one hundred twenty-two thousand".