122201021012000 has 288 divisors, whose sum is σ = 354480968290176. Its totient is φ = 41272152768000.

The previous prime is 122201021011997. The next prime is 122201021012071. The reversal of 122201021012000 is 210120102221.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8479205 + ... + 17784795.

It is an arithmetic number, because the mean of its divisors is an integer number (1230836695452).

Almost surely, 2^{122201021012000} is an apocalyptic number.

122201021012000 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 122201021012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177240484145088).

122201021012000 is an abundant number, since it is smaller than the sum of its proper divisors (232279947278176).

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

122201021012000 is an equidigital number, since it uses as much as digits as its factorization.

122201021012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9305697 (or 9305672 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122201021012000 its reverse (210120102221), we get a palindrome (122411141114221).

The spelling of 122201021012000 in words is "one hundred twenty-two trillion, two hundred one billion, twenty-one million, twelve thousand".