122132213123202 has 96 divisors (see below), whose sum is σ = 274742198714880. Its totient is φ = 39163784607360.

The previous prime is 122132213123191. The next prime is 122132213123257. The reversal of 122132213123202 is 202321312231221.

122132213123202 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 3 + 2 + 21 + 312 + 320 + 2 = 666.

122132213123202 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 382480503 + ... + 382799685.

It is an arithmetic number, because the mean of its divisors is an integer number (2861897903280).

Almost surely, 2^{122132213123202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122132213123202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137371099357440).

122132213123202 is an abundant number, since it is smaller than the sum of its proper divisors (152609985591678).

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

122132213123202 is a wasteful number, since it uses less digits than its factorization.

122132213123202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321888 (or 321885 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 122132213123202 its reverse (202321312231221), we get a palindrome (324453525354423).

The spelling of 122132213123202 in words is "one hundred twenty-two trillion, one hundred thirty-two billion, two hundred thirteen million, one hundred twenty-three thousand, two hundred two".