122122032223200 has 288 divisors, whose sum is σ = 398040284791296. Its totient is φ = 32522226063360.

The previous prime is 122122032223199. The next prime is 122122032223201. The reversal of 122122032223200 is 2322230221221.

It is an interprime number because it is at equal distance from previous prime (122122032223199) and next prime (122122032223201).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122122032223201) 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, 9656199277 + ... + 9656211923.

It is an arithmetic number, because the mean of its divisors is an integer number (1382084322192).

Almost surely, 2^{122122032223200} is an apocalyptic number.

122122032223200 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 122122032223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199020142395648).

122122032223200 is an abundant number, since it is smaller than the sum of its proper divisors (275918252568096).

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

122122032223200 is a wasteful number, since it uses less digits than its factorization.

122122032223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17746 (or 17733 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 122122032223200 its reverse (2322230221221), we get a palindrome (124444262444421).

The spelling of 122122032223200 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, thirty-two million, two hundred twenty-three thousand, two hundred".