122001211001120 has 192 divisors, whose sum is σ = 341656118415360. Its totient is φ = 40673346739200.

The previous prime is 122001211001119. The next prime is 122001211001141. The reversal of 122001211001120 is 21100112100221.

122001211001120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 122001211001095 and 122001211001104.

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 31 ways as a sum of consecutive naturals, for example, 57807902 + ... + 59881181.

It is an arithmetic number, because the mean of its divisors is an integer number (1779458950080).

Almost surely, 2^{122001211001120} is an apocalyptic number.

122001211001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122001211001120 is an abundant number, since it is smaller than the sum of its proper divisors (219654907414240).

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

122001211001120 is a wasteful number, since it uses less digits than its factorization.

122001211001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117689159 (or 117689151 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122001211001120 its reverse (21100112100221), we get a palindrome (143101323101341).

The spelling of 122001211001120 in words is "one hundred twenty-two trillion, one billion, two hundred eleven million, one thousand, one hundred twenty".