122221111320 has 384 divisors, whose sum is σ = 512313984000. Its totient is φ = 24520688640.

The previous prime is 122221111301. The next prime is 122221111333. The reversal of 122221111320 is 23111122221.

122221111320 is a `hidden beast` number, since 12 + 2 + 221 + 111 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122221111293 and 122221111302.

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, 727861 + ... + 879899.

It is an arithmetic number, because the mean of its divisors is an integer number (1334151000).

Almost surely, 2^122221111320 is an apocalyptic number.

122221111320 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 122221111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256156992000).

122221111320 is an abundant number, since it is smaller than the sum of its proper divisors (390092872680).

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

122221111320 is a wasteful number, since it uses less digits than its factorization.

122221111320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152103 (or 152096 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122221111320 its reverse (23111122221), we get a palindrome (145332233541).

The spelling of 122221111320 in words is "one hundred twenty-two billion, two hundred twenty-one million, one hundred eleven thousand, three hundred twenty".