122209291728 has 140 divisors (see below), whose sum is σ = 357191875360. Its totient is φ = 40485883968.

The previous prime is 122209291723. The next prime is 122209291733. The reversal of 122209291728 is 827192902221.

It is an interprime number because it is at equal distance from previous prime (122209291723) and next prime (122209291733).

It is a super-2 number, since 2×122209291728² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122209291723) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1869093 + ... + 1933371.

Almost surely, 2^122209291728 is an apocalyptic number.

122209291728 is a gapful number since it is divisible by the number (18) 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 122209291728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178595937680).

122209291728 is an abundant number, since it is smaller than the sum of its proper divisors (234982583632).

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

122209291728 is an equidigital number, since it uses as much as digits as its factorization.

122209291728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64468 (or 64447 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 122209291728 in words is "one hundred twenty-two billion, two hundred nine million, two hundred ninety-one thousand, seven hundred twenty-eight".