122110112001200 has 120 divisors (see below), whose sum is σ = 306277926720000. Its totient is φ = 46697011764480.

The previous prime is 122110112001127. The next prime is 122110112001221. The reversal of 122110112001200 is 2100211011221.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15070931 + ... + 21710669.

It is an arithmetic number, because the mean of its divisors is an integer number (2552316056000).

Almost surely, 2^{122110112001200} is an apocalyptic number.

122110112001200 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 122110112001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153138963360000).

122110112001200 is an abundant number, since it is smaller than the sum of its proper divisors (184167814718800).

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

122110112001200 is a wasteful number, since it uses less digits than its factorization.

122110112001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6641779 (or 6641768 counting only the distinct ones).

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

Adding to 122110112001200 its reverse (2100211011221), we get a palindrome (124210323012421).

The spelling of 122110112001200 in words is "one hundred twenty-two trillion, one hundred ten billion, one hundred twelve million, one thousand, two hundred".