122541688320 has 320 divisors, whose sum is σ = 397294571520. Its totient is φ = 32219136000.

The previous prime is 122541688307. The next prime is 122541688333. The reversal of 122541688320 is 23886145221.

It is an interprime number because it is at equal distance from previous prime (122541688307) and next prime (122541688333).

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203896020 + ... + 203896620.

It is an arithmetic number, because the mean of its divisors is an integer number (1241545536).

Almost surely, 2^122541688320 is an apocalyptic number.

122541688320 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 122541688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198647285760).

122541688320 is an abundant number, since it is smaller than the sum of its proper divisors (274752883200).

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

122541688320 is a wasteful number, since it uses less digits than its factorization.

122541688320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 122541688320 in words is "one hundred twenty-two billion, five hundred forty-one million, six hundred eighty-eight thousand, three hundred twenty".