122221201221200 has 120 divisors (see below), whose sum is σ = 300064528411128. Its totient is φ = 47823721021440.

The previous prime is 122221201221191. The next prime is 122221201221313. The reversal of 122221201221200 is 2122102122221.

It can be written as a sum of positive squares in 12 ways, for example, as 44596431939136 + 77624769282064 = 6678056^2 + 8810492^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1409237 + ... + 15698036.

Almost surely, 2^{122221201221200} is an apocalyptic number.

122221201221200 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 122221201221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150032264205564).

122221201221200 is an abundant number, since it is smaller than the sum of its proper divisors (177843327189928).

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

122221201221200 is a wasteful number, since it uses less digits than its factorization.

122221201221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17107681 (or 17107670 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 122221201221200 its reverse (2122102122221), we get a palindrome (124343303343421).

The spelling of 122221201221200 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, two hundred one million, two hundred twenty-one thousand, two hundred".