2200122220032 has 480 divisors, whose sum is σ = 7110909336960. Its totient is φ = 649099100160.

The previous prime is 2200122220031. The next prime is 2200122220069. The reversal of 2200122220032 is 2300222210022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2200122219987 and 2200122220014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200122220031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 756314194 + ... + 756317102.

It is an arithmetic number, because the mean of its divisors is an integer number (14814394452).

Almost surely, 2^{2200122220032} is an apocalyptic number.

2200122220032 is a gapful number since it is divisible by the number (22) 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 2200122220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555454668480).

2200122220032 is an abundant number, since it is smaller than the sum of its proper divisors (4910787116928).

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

2200122220032 is a wasteful number, since it uses less digits than its factorization.

2200122220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3334 (or 3315 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2200122220032 its reverse (2300222210022), we get a palindrome (4500344430054).

The spelling of 2200122220032 in words is "two trillion, two hundred billion, one hundred twenty-two million, two hundred twenty thousand, thirty-two".