122664345721920 has 336 divisors, whose sum is σ = 427750429599792. Its totient is φ = 32258138112000.

The previous prime is 122664345721787. The next prime is 122664345721987. The reversal of 122664345721920 is 29127543466221.

122664345721920 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 6 + 4 + 34 + 572 + 19 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2862214308864 + 119802131413056 = 1691808^2 + 10945416^2 .

It is a super-2 number, since 2×122664345721920² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1787215924 + ... + 1787284556.

Almost surely, 2^{122664345721920} is an apocalyptic number.

122664345721920 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 122664345721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213875214799896).

122664345721920 is an abundant number, since it is smaller than the sum of its proper divisors (305086083877872).

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

122664345721920 is a wasteful number, since it uses less digits than its factorization.

122664345721920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77230 (or 77217 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 122664345721920 in words is "one hundred twenty-two trillion, six hundred sixty-four billion, three hundred forty-five million, seven hundred twenty-one thousand, nine hundred twenty".