1211122122012 has 144 divisors (see below), whose sum is σ = 3373651008000. Its totient is φ = 363285648000.

The previous prime is 1211122121983. The next prime is 1211122122031. The reversal of 1211122122012 is 2102212211121.

1211122122012 is a `hidden beast` number, since 1 + 211 + 1 + 221 + 220 + 12 = 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 47 ways as a sum of consecutive naturals, for example, 122318262 + ... + 122328162.

It is an arithmetic number, because the mean of its divisors is an integer number (23428132000).

Almost surely, 2^{1211122122012} is an apocalyptic number.

1211122122012 is a gapful number since it is divisible by the number (12) 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 1211122122012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686825504000).

1211122122012 is an abundant number, since it is smaller than the sum of its proper divisors (2162528885988).

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

1211122122012 is a wasteful number, since it uses less digits than its factorization.

1211122122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13024 (or 13019 counting only the distinct ones).

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

Adding to 1211122122012 its reverse (2102212211121), we get a palindrome (3313334333133).

The spelling of 1211122122012 in words is "one trillion, two hundred eleven billion, one hundred twenty-two million, one hundred twenty-two thousand, twelve".