122301321120 has 576 divisors, whose sum is σ = 498219361920. Its totient is φ = 27902730240.

The previous prime is 122301321113. The next prime is 122301321127. The reversal of 122301321120 is 21123103221.

122301321120 is a `hidden beast` number, since 1 + 22 + 301 + 321 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (122301321113) and next prime (122301321127).

It is a super-2 number, since 2×122301321120² (a number of 23 digits) contains 22 as substring.

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 = 122301321093 and 122301321102.

It is not an unprimeable number, because it can be changed into a prime (122301321127) 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 95 ways as a sum of consecutive naturals, for example, 8879359 + ... + 8893121.

It is an arithmetic number, because the mean of its divisors is an integer number (864964170).

Almost surely, 2^122301321120 is an apocalyptic number.

122301321120 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 122301321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249109680960).

122301321120 is an abundant number, since it is smaller than the sum of its proper divisors (375918040800).

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

122301321120 is a wasteful number, since it uses less digits than its factorization.

122301321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13826 (or 13801 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122301321120 its reverse (21123103221), we get a palindrome (143424424341).

The spelling of 122301321120 in words is "one hundred twenty-two billion, three hundred one million, three hundred twenty-one thousand, one hundred twenty".