122102045638800 has 480 divisors, whose sum is σ = 398751038300160. Its totient is φ = 31932484608000.

The previous prime is 122102045638799. The next prime is 122102045638819. The reversal of 122102045638800 is 8836540201221.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36350711521 + ... + 36350714879.

It is an arithmetic number, because the mean of its divisors is an integer number (830731329792).

Almost surely, 2^{122102045638800} is an apocalyptic number.

122102045638800 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 122102045638800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199375519150080).

122102045638800 is an abundant number, since it is smaller than the sum of its proper divisors (276648992661360).

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

122102045638800 is a wasteful number, since it uses less digits than its factorization.

122102045638800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6031 (or 6020 counting only the distinct ones).

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

The spelling of 122102045638800 in words is "one hundred twenty-two trillion, one hundred two billion, forty-five million, six hundred thirty-eight thousand, eight hundred".