122805072 has 200 divisors, whose sum is σ = 395115336. Its totient is φ = 36578304.

The previous prime is 122805071. The next prime is 122805083. The reversal of 122805072 is 270508221.

It can be written as a sum of positive squares in 4 ways, for example, as 56610576 + 66194496 = 7524^2 + 8136^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122805071) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 623278 + ... + 623474.

Almost surely, 2^122805072 is an apocalyptic number.

122805072 is a gapful number since it is divisible by the number (12) 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 122805072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197557668).

122805072 is an abundant number, since it is smaller than the sum of its proper divisors (272310264).

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

122805072 is a wasteful number, since it uses less digits than its factorization.

122805072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 122805072 is about 11081.7449889447. The cubic root of 122805072 is about 497.0561306163.

The spelling of 122805072 in words is "one hundred twenty-two million, eight hundred five thousand, seventy-two".