122020331328 has 336 divisors, whose sum is σ = 415715988480. Its totient is φ = 33480179712.

The previous prime is 122020331327. The next prime is 122020331347. The reversal of 122020331328 is 823133020221.

It is a happy number.

122020331328 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 2 + 0 + 331 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×122020331328² (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 (122020331327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22564401 + ... + 22569807.

Almost surely, 2^122020331328 is an apocalyptic number.

122020331328 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 122020331328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207857994240).

122020331328 is an abundant number, since it is smaller than the sum of its proper divisors (293695657152).

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

122020331328 is a wasteful number, since it uses less digits than its factorization.

122020331328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5654 (or 5641 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 122020331328 its reverse (823133020221), we get a palindrome (945153351549).

The spelling of 122020331328 in words is "one hundred twenty-two billion, twenty million, three hundred thirty-one thousand, three hundred twenty-eight".