122212000212120 has 3072 divisors, whose sum is σ = 538509991219200. Its totient is φ = 23322207191040.

The previous prime is 122212000212119. The next prime is 122212000212149. The reversal of 122212000212120 is 21212000212221.

It is a happy number.

122212000212120 is a `hidden beast` number, since 12 + 221 + 200 + 0 + 21 + 212 + 0 = 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 = 122212000212093 and 122212000212102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 507103735200 + ... + 507103735440.

It is an arithmetic number, because the mean of its divisors is an integer number (175296221100).

Almost surely, 2^{122212000212120} is an apocalyptic number.

122212000212120 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 122212000212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269254995609600).

122212000212120 is an abundant number, since it is smaller than the sum of its proper divisors (416297991007080).

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

122212000212120 is a wasteful number, since it uses less digits than its factorization.

122212000212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122212000212120 its reverse (21212000212221), we get a palindrome (143424000424341).

The spelling of 122212000212120 in words is "one hundred twenty-two trillion, two hundred twelve billion, two hundred twelve thousand, one hundred twenty".