122021209728 has 448 divisors, whose sum is σ = 405282826080. Its totient is φ = 36262287360.

The previous prime is 122021209711. The next prime is 122021209741. The reversal of 122021209728 is 827902120221.

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

It is a junction number, because it is equal to n+sod(n) for n = 122021209692 and 122021209701.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 54399775 + ... + 54402017.

Almost surely, 2^122021209728 is an apocalyptic number.

122021209728 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 122021209728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202641413040).

122021209728 is an abundant number, since it is smaller than the sum of its proper divisors (283261616352).

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

122021209728 is an equidigital number, since it uses as much as digits as its factorization.

122021209728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2339 (or 2312 counting only the distinct ones).

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

Adding to 122021209728 its reverse (827902120221), we get a palindrome (949923329949).

The spelling of 122021209728 in words is "one hundred twenty-two billion, twenty-one million, two hundred nine thousand, seven hundred twenty-eight".