2206067122272 has 96 divisors (see below), whose sum is σ = 6244093668960. Its totient is φ = 677950525440.

The previous prime is 2206067122261. The next prime is 2206067122283. The reversal of 2206067122272 is 2722217606022.

It is an interprime number because it is at equal distance from previous prime (2206067122261) and next prime (2206067122283).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2206067122272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82879 + ... + 2102142.

It is an arithmetic number, because the mean of its divisors is an integer number (65042642385).

Almost surely, 2^{2206067122272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2206067122272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3122046834480).

2206067122272 is an abundant number, since it is smaller than the sum of its proper divisors (4038026546688).

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

2206067122272 is a wasteful number, since it uses less digits than its factorization.

2206067122272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185856 (or 2185848 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 2206067122272 in words is "two trillion, two hundred six billion, sixty-seven million, one hundred twenty-two thousand, two hundred seventy-two".