122110120201200 has 480 divisors, whose sum is σ = 399258253669632. Its totient is φ = 31893295104000.

The previous prime is 122110120201171. The next prime is 122110120201249. The reversal of 122110120201200 is 2102021011221.

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

It is a self number, because there is not a number n which added to its sum of digits gives 122110120201200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20955912687 + ... + 20955918513.

Almost surely, 2^{122110120201200} is an apocalyptic number.

122110120201200 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 122110120201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199629126834816).

122110120201200 is an abundant number, since it is smaller than the sum of its proper divisors (277148133468432).

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

122110120201200 is a wasteful number, since it uses less digits than its factorization.

122110120201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7073 (or 7062 counting only the distinct ones).

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

Adding to 122110120201200 its reverse (2102021011221), we get a palindrome (124212141212421).

The spelling of 122110120201200 in words is "one hundred twenty-two trillion, one hundred ten billion, one hundred twenty million, two hundred one thousand, two hundred".