122201223120000 has 1920 divisors, whose sum is σ = 469214023449600. Its totient is φ = 30458695680000.

The previous prime is 122201223119953. The next prime is 122201223120049. The reversal of 122201223120000 is 21322102221.

122201223120000 is a `hidden beast` number, since 1 + 2 + 220 + 12 + 231 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 283529519785 + ... + 283529520215.

It is an arithmetic number, because the mean of its divisors is an integer number (244382303880).

Almost surely, 2^{122201223120000} is an apocalyptic number.

122201223120000 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 122201223120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234607011724800).

122201223120000 is an abundant number, since it is smaller than the sum of its proper divisors (347012800329600).

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

122201223120000 is a wasteful number, since it uses less digits than its factorization.

122201223120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122201223120000 its reverse (21322102221), we get a palindrome (122222545222221).

The spelling of 122201223120000 in words is "one hundred twenty-two trillion, two hundred one billion, two hundred twenty-three million, one hundred twenty thousand".