13120120210122 has 192 divisors, whose sum is σ = 32429078922240. Its totient is φ = 3807736128000.

The previous prime is 13120120210063. The next prime is 13120120210163. The reversal of 13120120210122 is 22101202102131.

13120120210122 is a `hidden beast` number, since 1 + 312 + 0 + 1 + 20 + 210 + 122 = 666.

13120120210122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 13120120210095 and 13120120210104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1637759097 + ... + 1637767107.

It is an arithmetic number, because the mean of its divisors is an integer number (168901452720).

Almost surely, 2^{13120120210122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13120120210122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16214539461120).

13120120210122 is an abundant number, since it is smaller than the sum of its proper divisors (19308958712118).

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

13120120210122 is a wasteful number, since it uses less digits than its factorization.

13120120210122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14649 (or 14646 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 13120120210122 its reverse (22101202102131), we get a palindrome (35221322312253).

The spelling of 13120120210122 in words is "thirteen trillion, one hundred twenty billion, one hundred twenty million, two hundred ten thousand, one hundred twenty-two".