122110011211200 has 168 divisors, whose sum is σ = 401777132570112. Its totient is φ = 32468828666880.

The previous prime is 122110011211183. The next prime is 122110011211207. The reversal of 122110011211200 is 2112110011221.

It is a happy number.

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 122110011211200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122110011211207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34990864 + ... + 38322063.

Almost surely, 2^{122110011211200} is an apocalyptic number.

122110011211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122110011211200 is an abundant number, since it is smaller than the sum of its proper divisors (279667121358912).

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

122110011211200 is a wasteful number, since it uses less digits than its factorization.

122110011211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73313299 (or 73313284 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 122110011211200 its reverse (2112110011221), we get a palindrome (124222121222421).

The spelling of 122110011211200 in words is "one hundred twenty-two trillion, one hundred ten billion, eleven million, two hundred eleven thousand, two hundred".