122221333320 has 128 divisors (see below), whose sum is σ = 372106880640. Its totient is φ = 32109557760.

The previous prime is 122221333319. The next prime is 122221333321. The reversal of 122221333320 is 23333122221.

It is an interprime number because it is at equal distance from previous prime (122221333319) and next prime (122221333321).

It is a super-3 number, since 3×122221333320³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (122221333321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8235747 + ... + 8250573.

It is an arithmetic number, because the mean of its divisors is an integer number (2907085005).

Almost surely, 2^122221333320 is an apocalyptic number.

122221333320 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 122221333320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186053440320).

122221333320 is an abundant number, since it is smaller than the sum of its proper divisors (249885547320).

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

122221333320 is a wasteful number, since it uses less digits than its factorization.

122221333320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15855 (or 15851 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 122221333320 its reverse (23333122221), we get a palindrome (145554455541).

The spelling of 122221333320 in words is "one hundred twenty-two billion, two hundred twenty-one million, three hundred thirty-three thousand, three hundred twenty".