7122681216 has 640 divisors, whose sum is σ = 26871989760. Its totient is φ = 1824768000.

The previous prime is 7122681173. The next prime is 7122681227. The reversal of 7122681216 is 6121862217.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28377091 + ... + 28377341.

It is an arithmetic number, because the mean of its divisors is an integer number (41987484).

Almost surely, 2^7122681216 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 7122681216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13435994880).

7122681216 is an abundant number, since it is smaller than the sum of its proper divisors (19749308544).

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

7122681216 is a wasteful number, since it uses less digits than its factorization.

7122681216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 303 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 7122681216 is about 84395.9786719723. The cubic root of 7122681216 is about 1924.0417981275.

The spelling of 7122681216 in words is "seven billion, one hundred twenty-two million, six hundred eighty-one thousand, two hundred sixteen".