122787168 has 96 divisors (see below), whose sum is σ = 373556736. Its totient is φ = 34587648.

The previous prime is 122787163. The next prime is 122787193. The reversal of 122787168 is 861787221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122787163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47805 + ... + 50307.

It is an arithmetic number, because the mean of its divisors is an integer number (3891216).

Almost surely, 2^122787168 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 122787168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186778368).

122787168 is an abundant number, since it is smaller than the sum of its proper divisors (250769568).

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

122787168 is a wasteful number, since it uses less digits than its factorization.

122787168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2596 (or 2588 counting only the distinct ones).

The product of its digits is 75264, while the sum is 42.

The square root of 122787168 is about 11080.9371444838. The cubic root of 122787168 is about 497.0319738359.

The spelling of 122787168 in words is "one hundred twenty-two million, seven hundred eighty-seven thousand, one hundred sixty-eight".