122250221124240 has 640 divisors, whose sum is σ = 420063799910400. Its totient is φ = 29164285624320.

The previous prime is 122250221124217. The next prime is 122250221124281. The reversal of 122250221124240 is 42421122052221.

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 = 122250221124198 and 122250221124207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49715420131 + ... + 49715422589.

It is an arithmetic number, because the mean of its divisors is an integer number (656349687360).

Almost surely, 2^{122250221124240} is an apocalyptic number.

122250221124240 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 122250221124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210031899955200).

122250221124240 is an abundant number, since it is smaller than the sum of its proper divisors (297813578786160).

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

122250221124240 is a wasteful number, since it uses less digits than its factorization.

122250221124240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3495 (or 3489 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 122250221124240 its reverse (42421122052221), we get a palindrome (164671343176461).

The spelling of 122250221124240 in words is "one hundred twenty-two trillion, two hundred fifty billion, two hundred twenty-one million, one hundred twenty-four thousand, two hundred forty".