122985760 has 48 divisors (see below), whose sum is σ = 295340472. Its totient is φ = 48384000.

The previous prime is 122985757. The next prime is 122985763. The reversal of 122985760 is 67589221.

It is an interprime number because it is at equal distance from previous prime (122985757) and next prime (122985763).

It can be written as a sum of positive squares in 4 ways, for example, as 54228496 + 68757264 = 7364^2 + 8292^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (122985763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3460 + ... + 16060.

Almost surely, 2^122985760 is an apocalyptic number.

122985760 is a gapful number since it is divisible by the number (10) 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 122985760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147670236).

122985760 is an abundant number, since it is smaller than the sum of its proper divisors (172354712).

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

122985760 is a wasteful number, since it uses less digits than its factorization.

122985760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12677 (or 12669 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 122985760 is about 11089.8944990473. The cubic root of 122985760 is about 497.2997906558.

The spelling of 122985760 in words is "one hundred twenty-two million, nine hundred eighty-five thousand, seven hundred sixty".