122102002122120 has 96 divisors (see below), whose sum is σ = 410515351997400. Its totient is φ = 31437756865536.

The previous prime is 122102002122119. The next prime is 122102002122187. The reversal of 122102002122120 is 21221200201221.

It is a happy number.

122102002122120 is a `hidden beast` number, since 1 + 2 + 210 + 200 + 212 + 21 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 67501045673604 + 54600956448516 = 8215902^2 + 7389246^2 .

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 = 122102002122093 and 122102002122102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5847786597 + ... + 5847807476.

Almost surely, 2^{122102002122120} is an apocalyptic number.

122102002122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122102002122120 is an abundant number, since it is smaller than the sum of its proper divisors (288413349875280).

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

122102002122120 is a wasteful number, since it uses less digits than its factorization.

122102002122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11695594119 (or 11695594112 counting only the distinct ones).

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

Adding to 122102002122120 its reverse (21221200201221), we get a palindrome (143323202323341).

The spelling of 122102002122120 in words is "one hundred twenty-two trillion, one hundred two billion, two million, one hundred twenty-two thousand, one hundred twenty".