122564113152 has 144 divisors (see below), whose sum is σ = 351595291488. Its totient is φ = 37679431680.

The previous prime is 122564113151. The next prime is 122564113213. The reversal of 122564113152 is 251311465221.

It is not an unprimeable number, because it can be changed into a prime (122564113151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13184218 + ... + 13193510.

Almost surely, 2^122564113152 is an apocalyptic number.

122564113152 is a gapful number since it is divisible by the number (12) 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 122564113152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175797645744).

122564113152 is an abundant number, since it is smaller than the sum of its proper divisors (229031178336).

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

122564113152 is a wasteful number, since it uses less digits than its factorization.

122564113152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10646 (or 10632 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

Adding to 122564113152 its reverse (251311465221), we get a palindrome (373875578373).

The spelling of 122564113152 in words is "one hundred twenty-two billion, five hundred sixty-four million, one hundred thirteen thousand, one hundred fifty-two".