122252012232240 has 320 divisors, whose sum is σ = 417056770944000. Its totient is φ = 29378268057600.

The previous prime is 122252012232227. The next prime is 122252012232353. The reversal of 122252012232240 is 42232210252221.

122252012232240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 122252012232198 and 122252012232207.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 140889310 + ... + 141754370.

It is an arithmetic number, because the mean of its divisors is an integer number (1303302409200).

Almost surely, 2^{122252012232240} is an apocalyptic number.

122252012232240 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 122252012232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208528385472000).

122252012232240 is an abundant number, since it is smaller than the sum of its proper divisors (294804758711760).

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

122252012232240 is a wasteful number, since it uses less digits than its factorization.

122252012232240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865556 (or 865550 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 122252012232240 its reverse (42232210252221), we get a palindrome (164484222484461).

The spelling of 122252012232240 in words is "one hundred twenty-two trillion, two hundred fifty-two billion, twelve million, two hundred thirty-two thousand, two hundred forty".