1211210122122 has 768 divisors, whose sum is σ = 3778380103680. Its totient is φ = 270306201600.

The previous prime is 1211210122117. The next prime is 1211210122183. The reversal of 1211210122122 is 2212210121121.

1211210122122 is a `hidden beast` number, since 1 + 211 + 210 + 1 + 221 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1211210122095 and 1211210122104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2128664254 + ... + 2128664822.

It is an arithmetic number, because the mean of its divisors is an integer number (4919765760).

Almost surely, 2^{1211210122122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1211210122122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889190051840).

1211210122122 is an abundant number, since it is smaller than the sum of its proper divisors (2567169981558).

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

1211210122122 is a wasteful number, since it uses less digits than its factorization.

1211210122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 776 counting only the distinct ones).

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

Adding to 1211210122122 its reverse (2212210121121), we get a palindrome (3423420243243).

The spelling of 1211210122122 in words is "one trillion, two hundred eleven billion, two hundred ten million, one hundred twenty-two thousand, one hundred twenty-two".