122201202120000 has 560 divisors, whose sum is σ = 411183787069440. Its totient is φ = 32014049024000.

The previous prime is 122201202119993. The next prime is 122201202120043. The reversal of 122201202120000 is 21202102221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1782805729 + ... + 1782874271.

It is an arithmetic number, because the mean of its divisors is an integer number (734256762624).

Almost surely, 2^{122201202120000} is an apocalyptic number.

122201202120000 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 122201202120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205591893534720).

122201202120000 is an abundant number, since it is smaller than the sum of its proper divisors (288982584949440).

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

122201202120000 is an equidigital number, since it uses as much as digits as its factorization.

122201202120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68840 (or 68815 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122201202120000 its reverse (21202102221), we get a palindrome (122222404222221).

The spelling of 122201202120000 in words is "one hundred twenty-two trillion, two hundred one billion, two hundred two million, one hundred twenty thousand".