122742510 has 64 divisors (see below), whose sum is σ = 322479360. Its totient is φ = 29652480.

The previous prime is 122742509. The next prime is 122742517. The reversal of 122742510 is 15247221.

It is a super-2 number, since 2×122742510² = 30131447522200200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122742517) 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, 142461 + ... + 143319.

It is an arithmetic number, because the mean of its divisors is an integer number (5038740).

Almost surely, 2^122742510 is an apocalyptic number.

122742510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122742510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161239680).

122742510 is an abundant number, since it is smaller than the sum of its proper divisors (199736850).

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

122742510 is a wasteful number, since it uses less digits than its factorization.

122742510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313.

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 122742510 is about 11078.9218789556. The cubic root of 122742510 is about 496.9717092720.

Adding to 122742510 its reverse (15247221), we get a palindrome (137989731).

The spelling of 122742510 in words is "one hundred twenty-two million, seven hundred forty-two thousand, five hundred ten".