12121222111200 has 432 divisors, whose sum is σ = 44617354681536. Its totient is φ = 3093404774400.

The previous prime is 12121222111183. The next prime is 12121222111231. The reversal of 12121222111200 is 211122212121.

12121222111200 is a `hidden beast` number, since 1 + 21 + 212 + 221 + 11 + 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15877449 + ... + 16623351.

Almost surely, 2^{12121222111200} is an apocalyptic number.

12121222111200 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 12121222111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22308677340768).

12121222111200 is an abundant number, since it is smaller than the sum of its proper divisors (32496132570336).

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

12121222111200 is a wasteful number, since it uses less digits than its factorization.

12121222111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746027 (or 746011 counting only the distinct ones).

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

Adding to 12121222111200 its reverse (211122212121), we get a palindrome (12332344323321).

The spelling of 12121222111200 in words is "twelve trillion, one hundred twenty-one billion, two hundred twenty-two million, one hundred eleven thousand, two hundred".