122742580 has 24 divisors (see below), whose sum is σ = 258045480. Its totient is φ = 49042560.

The previous prime is 122742577. The next prime is 122742583. The reversal of 122742580 is 85247221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122742577) and next prime (122742583).

It can be written as a sum of positive squares in 4 ways, for example, as 11102224 + 111640356 = 3332^2 + 10566^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122742583) 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, 18510 + ... + 24250.

It is an arithmetic number, because the mean of its divisors is an integer number (10751895).

Almost surely, 2^122742580 is an apocalyptic number.

122742580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122742580 is an abundant number, since it is smaller than the sum of its proper divisors (135302900).

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

122742580 is a wasteful number, since it uses less digits than its factorization.

122742580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6819 (or 6817 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 122742580 is about 11078.9250381073. The cubic root of 122742580 is about 496.9718037462.

The spelling of 122742580 in words is "one hundred twenty-two million, seven hundred forty-two thousand, five hundred eighty".