122221653376 has 128 divisors (see below), whose sum is σ = 257540199840. Its totient is φ = 57706414080.

The previous prime is 122221653347. The next prime is 122221653383. The reversal of 122221653376 is 673356122221.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25497636 + ... + 25502428.

Almost surely, 2^122221653376 is an apocalyptic number.

122221653376 is a gapful number since it is divisible by the number (16) 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 122221653376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128770099920).

122221653376 is an abundant number, since it is smaller than the sum of its proper divisors (135318546464).

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

122221653376 is a wasteful number, since it uses less digits than its factorization.

122221653376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5004 (or 4992 counting only the distinct ones).

The product of its digits is 181440, while the sum is 40.

Adding to 122221653376 its reverse (673356122221), we get a palindrome (795577775597).

The spelling of 122221653376 in words is "one hundred twenty-two billion, two hundred twenty-one million, six hundred fifty-three thousand, three hundred seventy-six".