122721648 has 80 divisors (see below), whose sum is σ = 364143360. Its totient is φ = 34887168.

The previous prime is 122721619. The next prime is 122721671. The reversal of 122721648 is 846127221.

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 15 ways as a sum of consecutive naturals, for example, 75468 + ... + 77076.

It is an arithmetic number, because the mean of its divisors is an integer number (4551792).

Almost surely, 2^122721648 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 122721648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182071680).

122721648 is an abundant number, since it is smaller than the sum of its proper divisors (241421712).

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

122721648 is a wasteful number, since it uses less digits than its factorization.

122721648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1848 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 122721648 is about 11077.9803213402. The cubic root of 122721648 is about 496.9435516509.

Adding to 122721648 its reverse (846127221), we get a palindrome (968848869).

The spelling of 122721648 in words is "one hundred twenty-two million, seven hundred twenty-one thousand, six hundred forty-eight".