122212002102120 has 288 divisors, whose sum is σ = 462577908822120. Its totient is φ = 27901420323840.

The previous prime is 122212002102079. The next prime is 122212002102139. The reversal of 122212002102120 is 21201200212221.

It is a happy number.

122212002102120 is a `hidden beast` number, since 1 + 2 + 221 + 20 + 0 + 210 + 212 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 56891629363716 + 65320372738404 = 7542654^2 + 8082102^2 .

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 = 122212002102093 and 122212002102102.

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, 10985890 + ... + 19107950.

Almost surely, 2^{122212002102120} is an apocalyptic number.

122212002102120 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 122212002102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231288954411060).

122212002102120 is an abundant number, since it is smaller than the sum of its proper divisors (340365906720000).

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

122212002102120 is a wasteful number, since it uses less digits than its factorization.

122212002102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8122945 (or 8122931 counting only the distinct ones).

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

Adding to 122212002102120 its reverse (21201200212221), we get a palindrome (143413202314341).

The spelling of 122212002102120 in words is "one hundred twenty-two trillion, two hundred twelve billion, two million, one hundred two thousand, one hundred twenty".