122301301320 has 384 divisors, whose sum is σ = 438738094080. Its totient is φ = 29300544000.

The previous prime is 122301301271. The next prime is 122301301321. The reversal of 122301301320 is 23103103221.

122301301320 is a `hidden beast` number, since 12 + 2 + 30 + 1 + 301 + 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 = 122301301293 and 122301301302.

It is not an unprimeable number, because it can be changed into a prime (122301301321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 223585287 + ... + 223585833.

It is an arithmetic number, because the mean of its divisors is an integer number (1142547120).

Almost surely, 2^122301301320 is an apocalyptic number.

122301301320 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 122301301320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219369047040).

122301301320 is an abundant number, since it is smaller than the sum of its proper divisors (316436792760).

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

122301301320 is a wasteful number, since it uses less digits than its factorization.

122301301320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 122301301320 its reverse (23103103221), we get a palindrome (145404404541).

The spelling of 122301301320 in words is "one hundred twenty-two billion, three hundred one million, three hundred one thousand, three hundred twenty".