12121122201210 has 192 divisors, whose sum is σ = 35651914871040. Its totient is φ = 2831277680640.

The previous prime is 12121122201119. The next prime is 12121122201211. The reversal of 12121122201210 is 1210222112121.

12121122201210 is a `hidden beast` number, since 1 + 21 + 211 + 2 + 220 + 1 + 210 = 666.

It is a super-3 number, since 3×12121122201210³ (a number of 40 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12121122201211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2166546 + ... + 5379234.

It is an arithmetic number, because the mean of its divisors is an integer number (185687056620).

Almost surely, 2^{12121122201210} is an apocalyptic number.

12121122201210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12121122201210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17825957435520).

12121122201210 is an abundant number, since it is smaller than the sum of its proper divisors (23530792669830).

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

12121122201210 is a wasteful number, since it uses less digits than its factorization.

12121122201210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3212853 (or 3212850 counting only the distinct ones).

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

Adding to 12121122201210 its reverse (1210222112121), we get a palindrome (13331344313331).

The spelling of 12121122201210 in words is "twelve trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred one thousand, two hundred ten".