122040629760 has 640 divisors, whose sum is σ = 472875448320. Its totient is φ = 26228883456.

The previous prime is 122040629729. The next prime is 122040629773. The reversal of 122040629760 is 67926040221.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166494354 + ... + 166495086.

It is an arithmetic number, because the mean of its divisors is an integer number (738867888).

Almost surely, 2^122040629760 is an apocalyptic number.

122040629760 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 122040629760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236437724160).

122040629760 is an abundant number, since it is smaller than the sum of its proper divisors (350834818560).

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

122040629760 is a wasteful number, since it uses less digits than its factorization.

122040629760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

Adding to 122040629760 its reverse (67926040221), we get a palindrome (189966669981).

The spelling of 122040629760 in words is "one hundred twenty-two billion, forty million, six hundred twenty-nine thousand, seven hundred sixty".