122311145200512 has 128 divisors (see below), whose sum is σ = 330525739998720. Its totient is φ = 40064281344000.

The previous prime is 122311145200499. The next prime is 122311145200553. The reversal of 122311145200512 is 215002541113221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 122311145200512.

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, 22443637 + ... + 27355787.

It is an arithmetic number, because the mean of its divisors is an integer number (2582232343740).

Almost surely, 2^{122311145200512} is an apocalyptic number.

122311145200512 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 122311145200512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165262869999360).

122311145200512 is an abundant number, since it is smaller than the sum of its proper divisors (208214594798208).

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

122311145200512 is a wasteful number, since it uses less digits than its factorization.

122311145200512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4913292 (or 4913280 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 122311145200512 its reverse (215002541113221), we get a palindrome (337313686313733).

The spelling of 122311145200512 in words is "one hundred twenty-two trillion, three hundred eleven billion, one hundred forty-five million, two hundred thousand, five hundred twelve".