122546580 has 96 divisors (see below), whose sum is σ = 389020800. Its totient is φ = 28574208.

The previous prime is 122546573. The next prime is 122546587. The reversal of 122546580 is 85645221.

It is an interprime number because it is at equal distance from previous prime (122546573) and next prime (122546587).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122546587) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10686 + ... + 18954.

It is an arithmetic number, because the mean of its divisors is an integer number (4052300).

Almost surely, 2^122546580 is an apocalyptic number.

122546580 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 122546580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194510400).

122546580 is an abundant number, since it is smaller than the sum of its proper divisors (266474220).

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

122546580 is a wasteful number, since it uses less digits than its factorization.

122546580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8313 (or 8311 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 122546580 is about 11070.0758804987. The cubic root of 122546580 is about 496.7071350196.

The spelling of 122546580 in words is "one hundred twenty-two million, five hundred forty-six thousand, five hundred eighty".