12101221132200 has 288 divisors, whose sum is σ = 42128413385760. Its totient is φ = 3110430758400.

The previous prime is 12101221132109. The next prime is 12101221132241. The reversal of 12101221132200 is 223112210121.

12101221132200 is a `hidden beast` number, since 1 + 210 + 1 + 221 + 1 + 32 + 200 = 666.

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

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, 6277135 + ... + 7975265.

It is an arithmetic number, because the mean of its divisors is an integer number (146279213145).

Almost surely, 2^{12101221132200} is an apocalyptic number.

12101221132200 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 12101221132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21064206692880).

12101221132200 is an abundant number, since it is smaller than the sum of its proper divisors (30027192253560).

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

12101221132200 is a wasteful number, since it uses less digits than its factorization.

12101221132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698297 (or 1698285 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12101221132200 its reverse (223112210121), we get a palindrome (12324333342321).

The spelling of 12101221132200 in words is "twelve trillion, one hundred one billion, two hundred twenty-one million, one hundred thirty-two thousand, two hundred".