122002564320 has 576 divisors, whose sum is σ = 513559388160. Its totient is φ = 25683554304.

The previous prime is 122002564309. The next prime is 122002564349. The reversal of 122002564320 is 23465200221.

It is a happy number.

122002564320 is a `hidden beast` number, since 1 + 2 + 200 + 25 + 6 + 432 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84782161 + ... + 84783599.

It is an arithmetic number, because the mean of its divisors is an integer number (891596160).

Almost surely, 2^122002564320 is an apocalyptic number.

122002564320 is a gapful number since it is divisible by the number (10) 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 122002564320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256779694080).

122002564320 is an abundant number, since it is smaller than the sum of its proper divisors (391556823840).

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

122002564320 is a wasteful number, since it uses less digits than its factorization.

122002564320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2127 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 122002564320 its reverse (23465200221), we get a palindrome (145467764541).

The spelling of 122002564320 in words is "one hundred twenty-two billion, two million, five hundred sixty-four thousand, three hundred twenty".