122012122111200 has 1728 divisors, whose sum is σ = 494319218545152. Its totient is φ = 29210886144000.

The previous prime is 122012122111199. The next prime is 122012122111241. The reversal of 122012122111200 is 2111221210221.

122012122111200 is a `hidden beast` number, since 1 + 220 + 1 + 21 + 221 + 1 + 1 + 200 = 666.

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

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 30480168399 + ... + 30480172401.

It is an arithmetic number, because the mean of its divisors is an integer number (286064362584).

Almost surely, 2^{122012122111200} is an apocalyptic number.

122012122111200 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 122012122111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247159609272576).

122012122111200 is an abundant number, since it is smaller than the sum of its proper divisors (372307096433952).

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

122012122111200 is a wasteful number, since it uses less digits than its factorization.

122012122111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4479 (or 4454 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122012122111200 its reverse (2111221210221), we get a palindrome (124123343321421).

The spelling of 122012122111200 in words is "one hundred twenty-two trillion, twelve billion, one hundred twenty-two million, one hundred eleven thousand, two hundred".