122102202001220 has 192 divisors, whose sum is σ = 312404843520000. Its totient is φ = 39131703607296.

The previous prime is 122102202001201. The next prime is 122102202001249. The reversal of 122102202001220 is 22100202201221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3744416276 + ... + 3744448884.

It is an arithmetic number, because the mean of its divisors is an integer number (1627108560000).

Almost surely, 2^{122102202001220} is an apocalyptic number.

122102202001220 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 122102202001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156202421760000).

122102202001220 is an abundant number, since it is smaller than the sum of its proper divisors (190302641518780).

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

122102202001220 is a wasteful number, since it uses less digits than its factorization.

122102202001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43350 (or 43348 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 122102202001220 its reverse (22100202201221), we get a palindrome (144202404202441).

The spelling of 122102202001220 in words is "one hundred twenty-two trillion, one hundred two billion, two hundred two million, one thousand, two hundred twenty".