122216391936 has 432 divisors, whose sum is σ = 378045158400. Its totient is φ = 37902090240.

The previous prime is 122216391919. The next prime is 122216391937. The reversal of 122216391936 is 639193612221.

122216391936 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 1 + 639 + 1 + 9 + 3 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 122216391891 and 122216391900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122216391937) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272196640 + ... + 272197088.

Almost surely, 2^122216391936 is an apocalyptic number.

122216391936 is a gapful number since it is divisible by the number (16) 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 122216391936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189022579200).

122216391936 is an abundant number, since it is smaller than the sum of its proper divisors (255828766464).

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

122216391936 is a wasteful number, since it uses less digits than its factorization.

122216391936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 625 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The spelling of 122216391936 in words is "one hundred twenty-two billion, two hundred sixteen million, three hundred ninety-one thousand, nine hundred thirty-six".