122301023220 has 288 divisors, whose sum is σ = 388424967840. Its totient is φ = 31120588800.

The previous prime is 122301023203. The next prime is 122301023293. The reversal of 122301023220 is 22320103221.

122301023220 is a `hidden beast` number, since 12 + 230 + 102 + 322 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 289136016 + 122011887204 = 17004^2 + 349302^2 .

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 = 122301023193 and 122301023202.

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, 76009776 + ... + 76011384.

It is an arithmetic number, because the mean of its divisors is an integer number (1348697805).

Almost surely, 2^122301023220 is an apocalyptic number.

122301023220 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 122301023220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194212483920).

122301023220 is an abundant number, since it is smaller than the sum of its proper divisors (266123944620).

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

122301023220 is a wasteful number, since it uses less digits than its factorization.

122301023220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 122301023220 its reverse (22320103221), we get a palindrome (144621126441).

The spelling of 122301023220 in words is "one hundred twenty-two billion, three hundred one million, twenty-three thousand, two hundred twenty".