122230232200320 has 256 divisors, whose sum is σ = 390178964736000. Its totient is φ = 32547069259776.

The previous prime is 122230232200283. The next prime is 122230232200357. The reversal of 122230232200320 is 23002232032221.

It is an interprime number because it is at equal distance from previous prime (122230232200283) and next prime (122230232200357).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3872073177 + ... + 3872104743.

It is an arithmetic number, because the mean of its divisors is an integer number (1524136581000).

Almost surely, 2^{122230232200320} is an apocalyptic number.

122230232200320 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 122230232200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195089482368000).

122230232200320 is an abundant number, since it is smaller than the sum of its proper divisors (267948732535680).

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

122230232200320 is a wasteful number, since it uses less digits than its factorization.

122230232200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34475 (or 34463 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 122230232200320 its reverse (23002232032221), we get a palindrome (145232464232541).

The spelling of 122230232200320 in words is "one hundred twenty-two trillion, two hundred thirty billion, two hundred thirty-two million, two hundred thousand, three hundred twenty".