122403836016 has 640 divisors, whose sum is σ = 466298726400. Its totient is φ = 29762519040.

The previous prime is 122403835987. The next prime is 122403836017. The reversal of 122403836016 is 610638304221.

122403836016 is a `hidden beast` number, since 1 + 2 + 2 + 40 + 3 + 8 + 3 + 601 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122403836017) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 131758240 + ... + 131759168.

It is an arithmetic number, because the mean of its divisors is an integer number (728591760).

Almost surely, 2^122403836016 is an apocalyptic number.

122403836016 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 122403836016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233149363200).

122403836016 is an abundant number, since it is smaller than the sum of its proper divisors (343894890384).

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

122403836016 is a wasteful number, since it uses less digits than its factorization.

122403836016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 122403836016 in words is "one hundred twenty-two billion, four hundred three million, eight hundred thirty-six thousand, sixteen".