122233322200000 has 1008 divisors, whose sum is σ = 342563749516800. Its totient is φ = 42910560000000.

The previous prime is 122233322199943. The next prime is 122233322200021. The reversal of 122233322200000 is 2223332221.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 614237799901 + ... + 614237800099.

It is an arithmetic number, because the mean of its divisors is an integer number (339844989600).

Almost surely, 2^{122233322200000} is an apocalyptic number.

122233322200000 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 122233322200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171281874758400).

122233322200000 is an abundant number, since it is smaller than the sum of its proper divisors (220330427316800).

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

122233322200000 is an equidigital number, since it uses as much as digits as its factorization.

122233322200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 122233322200000 its reverse (2223332221), we get a palindrome (122235545532221).

The spelling of 122233322200000 in words is "one hundred twenty-two trillion, two hundred thirty-three billion, three hundred twenty-two million, two hundred thousand".