12222112222100 has 288 divisors, whose sum is σ = 30045695952384. Its totient is φ = 4276800000000.

The previous prime is 12222112222069. The next prime is 12222112222121. The reversal of 12222112222100 is 122221122221.

12222112222100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1234427150 + ... + 1234437050.

It is an arithmetic number, because the mean of its divisors is an integer number (104325333168).

Almost surely, 2^{12222112222100} is an apocalyptic number.

12222112222100 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 12222112222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15022847976192).

12222112222100 is an abundant number, since it is smaller than the sum of its proper divisors (17823583730284).

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

12222112222100 is a wasteful number, since it uses less digits than its factorization.

12222112222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10339 (or 10332 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12222112222100 its reverse (122221122221), we get a palindrome (12344333344321).

12222112222100 divided by its reverse (122221122221) gives a square (100 = 10²).

It can be divided in two parts, 122221 and 12222100, that multiplied together give a square (1493797284100 = 1222210²).

The spelling of 12222112222100 in words is "twelve trillion, two hundred twenty-two billion, one hundred twelve million, two hundred twenty-two thousand, one hundred".