122113313211132 has 48 divisors (see below), whose sum is σ = 318900947759520. Its totient is φ = 40407325047936.

The previous prime is 122113313211121. The next prime is 122113313211167. The reversal of 122113313211132 is 231112313311221.

122113313211132 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 1 + 3 + 313 + 211 + 132 = 666.

It is a super-2 number, since 2×122113313211132² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 122113313211096 and 122113313211105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4126550263 + ... + 4126579854.

It is an arithmetic number, because the mean of its divisors is an integer number (6643769744990).

Almost surely, 2^{122113313211132} is an apocalyptic number.

122113313211132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122113313211132 is an abundant number, since it is smaller than the sum of its proper divisors (196787634548388).

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

122113313211132 is a wasteful number, since it uses less digits than its factorization.

122113313211132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8253130267 (or 8253130259 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

Adding to 122113313211132 its reverse (231112313311221), we get a palindrome (353225626522353).

The spelling of 122113313211132 in words is "one hundred twenty-two trillion, one hundred thirteen billion, three hundred thirteen million, two hundred eleven thousand, one hundred thirty-two".