122120121102000 has 320 divisors, whose sum is σ = 451925236838400. Its totient is φ = 27791276774400.

The previous prime is 122120121101929. The next prime is 122120121102011. The reversal of 122120121102000 is 201121021221.

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

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, 3269481 + ... + 15966519.

It is an arithmetic number, because the mean of its divisors is an integer number (1412266365120).

Almost surely, 2^{122120121102000} is an apocalyptic number.

122120121102000 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 122120121102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225962618419200).

122120121102000 is an abundant number, since it is smaller than the sum of its proper divisors (329805115736400).

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

122120121102000 is a wasteful number, since it uses less digits than its factorization.

122120121102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12697301 (or 12697285 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122120121102000 its reverse (201121021221), we get a palindrome (122321242123221).

The spelling of 122120121102000 in words is "one hundred twenty-two trillion, one hundred twenty billion, one hundred twenty-one million, one hundred two thousand".