122263314624 has 896 divisors, whose sum is σ = 442423296000. Its totient is φ = 32663347200.

The previous prime is 122263314599. The next prime is 122263314631. The reversal of 122263314624 is 426413362221.

122263314624 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 633 + 14 + 6 + 2 + 4 = 666.

It is a super-2 number, since 2×122263314624² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 340566157 + ... + 340566515.

It is an arithmetic number, because the mean of its divisors is an integer number (493776000).

Almost surely, 2^122263314624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122263314624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221211648000).

122263314624 is an abundant number, since it is smaller than the sum of its proper divisors (320159981376).

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

122263314624 is a wasteful number, since it uses less digits than its factorization.

122263314624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 458 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 122263314624 its reverse (426413362221), we get a palindrome (548676676845).

The spelling of 122263314624 in words is "one hundred twenty-two billion, two hundred sixty-three million, three hundred fourteen thousand, six hundred twenty-four".