122222133333300 has 3456 divisors, whose sum is σ = 548526052085760. Its totient is φ = 20529369907200.

The previous prime is 122222133333269. The next prime is 122222133333371. The reversal of 122222133333300 is 3333331222221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 30411078691 + ... + 30411082709.

It is an arithmetic number, because the mean of its divisors is an integer number (158717028960).

Almost surely, 2^{122222133333300} is an apocalyptic number.

122222133333300 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 122222133333300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274263026042880).

122222133333300 is an abundant number, since it is smaller than the sum of its proper divisors (426303918752460).

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

122222133333300 is a wasteful number, since it uses less digits than its factorization.

122222133333300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4151 (or 4137 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 122222133333300 its reverse (3333331222221), we get a palindrome (125555464555521).

The spelling of 122222133333300 in words is "one hundred twenty-two trillion, two hundred twenty-two billion, one hundred thirty-three million, three hundred thirty-three thousand, three hundred".