122564113200 has 600 divisors, whose sum is σ = 475626499920. Its totient is φ = 30121113600.

The previous prime is 122564113151. The next prime is 122564113213. The reversal of 122564113200 is 2311465221.

122564113200 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 641 + 13 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 22774510 + ... + 22779890.

Almost surely, 2^122564113200 is an apocalyptic number.

122564113200 is a gapful number since it is divisible by the number (10) 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 122564113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237813249960).

122564113200 is an abundant number, since it is smaller than the sum of its proper divisors (353062386720).

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

122564113200 is a wasteful number, since it uses less digits than its factorization.

122564113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5467 (or 5447 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 122564113200 its reverse (2311465221), we get a palindrome (124875578421).

The spelling of 122564113200 in words is "one hundred twenty-two billion, five hundred sixty-four million, one hundred thirteen thousand, two hundred".