122547413016 has 192 divisors, whose sum is σ = 396064581120. Its totient is φ = 33469286400.

The previous prime is 122547413011. The next prime is 122547413029. The reversal of 122547413016 is 610314745221.

122547413016 is a `hidden beast` number, since 1 + 225 + 4 + 7 + 413 + 0 + 16 = 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 (122547413011) 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, 26346291 + ... + 26350941.

It is an arithmetic number, because the mean of its divisors is an integer number (2062836360).

Almost surely, 2^122547413016 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 122547413016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198032290560).

122547413016 is an abundant number, since it is smaller than the sum of its proper divisors (273517168104).

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

122547413016 is a wasteful number, since it uses less digits than its factorization.

122547413016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6966 (or 6959 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 122547413016 in words is "one hundred twenty-two billion, five hundred forty-seven million, four hundred thirteen thousand, sixteen".