215422224512 has 128 divisors (see below), whose sum is σ = 475001694720. Its totient is φ = 96500736000.

The previous prime is 215422224487. The next prime is 215422224517.

215422224512 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (215422224517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31708988 + ... + 31715780.

It is an arithmetic number, because the mean of its divisors is an integer number (3710950740).

Almost surely, 2^215422224512 is an apocalyptic number.

215422224512 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 215422224512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237500847360).

215422224512 is an abundant number, since it is smaller than the sum of its proper divisors (259579470208).

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

215422224512 is a wasteful number, since it uses less digits than its factorization.

215422224512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7142 (or 7130 counting only the distinct ones).

The product of its digits is 25600, while the sum is 32.

It can be divided in two parts, 215422 and 224512, that added together give a palindrome (439934).

The spelling of 215422224512 in words is "two hundred fifteen billion, four hundred twenty-two million, two hundred twenty-four thousand, five hundred twelve".