122488372282248 has 1024 divisors, whose sum is σ = 443737527091200. Its totient is φ = 30487493836800.

The previous prime is 122488372282247. The next prime is 122488372282273. The reversal of 122488372282248 is 842282273884221.

122488372282248 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 88 + 37 + 2 + 282 + 248 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (122488372282247) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2287295073 + ... + 2287348623.

It is an arithmetic number, because the mean of its divisors is an integer number (433337428800).

Almost surely, 2^{122488372282248} is an apocalyptic number.

122488372282248 is a gapful number since it is divisible by the number (18) 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 122488372282248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221868763545600).

122488372282248 is an abundant number, since it is smaller than the sum of its proper divisors (321249154808952).

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

122488372282248 is a wasteful number, since it uses less digits than its factorization.

122488372282248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53739 (or 53729 counting only the distinct ones).

The product of its digits is 88080384, while the sum is 63.

The spelling of 122488372282248 in words is "one hundred twenty-two trillion, four hundred eighty-eight billion, three hundred seventy-two million, two hundred eighty-two thousand, two hundred forty-eight".