122221221300 has 144 divisors (see below), whose sum is σ = 393829793280. Its totient is φ = 32516743680.

The previous prime is 122221221263. The next prime is 122221221307. The reversal of 122221221300 is 3122122221.

122221221300 is a `hidden beast` number, since 122 + 2 + 21 + 221 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122221221307) 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, 1116829 + ... + 1221371.

It is an arithmetic number, because the mean of its divisors is an integer number (2734929120).

Almost surely, 2^122221221300 is an apocalyptic number.

122221221300 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 122221221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196914896640).

122221221300 is an abundant number, since it is smaller than the sum of its proper divisors (271608571980).

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

122221221300 is a wasteful number, since it uses less digits than its factorization.

122221221300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104999 (or 104986 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122221221300 its reverse (3122122221), we get a palindrome (125343343521).

The spelling of 122221221300 in words is "one hundred twenty-two billion, two hundred twenty-one million, two hundred twenty-one thousand, three hundred".