2200012002000 has 800 divisors, whose sum is σ = 8152337217024. Its totient is φ = 571598208000.

The previous prime is 2200012001989. The next prime is 2200012002029. The reversal of 2200012002000 is 2002100022.

It is a super-4 number, since 4×2200012002000⁴ (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 2154761490 + ... + 2154762510.

Almost surely, 2^{2200012002000} is an apocalyptic number.

2200012002000 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 2200012002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4076168608512).

2200012002000 is an abundant number, since it is smaller than the sum of its proper divisors (5952325215024).

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

2200012002000 is a wasteful number, since it uses less digits than its factorization.

2200012002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 2200012002000 its reverse (2002100022), we get a palindrome (2202014102022).

The spelling of 2200012002000 in words is "two trillion, two hundred billion, twelve million, two thousand".