122840884924416 has 1664 divisors, whose sum is σ = 413222713344000. Its totient is φ = 35876048338944.

The previous prime is 122840884924411. The next prime is 122840884924477. The reversal of 122840884924416 is 614429488048221.

122840884924416 is a `hidden beast` number, since 1 + 2 + 2 + 84 + 0 + 88 + 49 + 24 + 416 = 666.

It is a super-2 number, since 2×122840884924416² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122840884924411) by changing a digit.

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, 191043366591 + ... + 191043367233.

Almost surely, 2^{122840884924416} is an apocalyptic number.

122840884924416 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 122840884924416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206611356672000).

122840884924416 is an abundant number, since it is smaller than the sum of its proper divisors (290381828419584).

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

122840884924416 is a wasteful number, since it uses less digits than its factorization.

122840884924416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 56623104, while the sum is 63.

The spelling of 122840884924416 in words is "one hundred twenty-two trillion, eight hundred forty billion, eight hundred eighty-four million, nine hundred twenty-four thousand, four hundred sixteen".