122120201122000 has 320 divisors, whose sum is σ = 307897318310400. Its totient is φ = 46789244006400.

The previous prime is 122120201121983. The next prime is 122120201122001. The reversal of 122120201122000 is 221102021221.

It is a happy number.

122120201122000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122120201122001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12439661092 + ... + 12439670908.

It is an arithmetic number, because the mean of its divisors is an integer number (962179119720).

Almost surely, 2^{122120201122000} is an apocalyptic number.

122120201122000 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 122120201122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153948659155200).

122120201122000 is an abundant number, since it is smaller than the sum of its proper divisors (185777117188400).

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

122120201122000 is a wasteful number, since it uses less digits than its factorization.

122120201122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11551 (or 11535 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122120201122000 its reverse (221102021221), we get a palindrome (122341303143221).

The spelling of 122120201122000 in words is "one hundred twenty-two trillion, one hundred twenty billion, two hundred one million, one hundred twenty-two thousand".