122264521056 has 144 divisors (see below), whose sum is σ = 351442321776. Its totient is φ = 40316387328.

The previous prime is 122264521051. The next prime is 122264521061. The reversal of 122264521056 is 650125462221.

122264521056 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 645 + 2 + 1 + 0 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (122264521051) and next prime (122264521061).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×122264521056² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 122264521056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122264521051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18318936 + ... + 18325608.

It is an arithmetic number, because the mean of its divisors is an integer number (2440571679).

Almost surely, 2^122264521056 is an apocalyptic number.

122264521056 is a gapful number since it is divisible by the number (16) 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 122264521056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175721160888).

122264521056 is an abundant number, since it is smaller than the sum of its proper divisors (229177800720).

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

122264521056 is a wasteful number, since it uses less digits than its factorization.

122264521056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7365 (or 7354 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 122264521056 its reverse (650125462221), we get a palindrome (772389983277).

The spelling of 122264521056 in words is "one hundred twenty-two billion, two hundred sixty-four million, five hundred twenty-one thousand, fifty-six".