122738610 has 64 divisors (see below), whose sum is σ = 305823744. Its totient is φ = 31492800.

The previous prime is 122738593. The next prime is 122738617. The reversal of 122738610 is 16837221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (122738617) 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, 251787 + ... + 252273.

It is an arithmetic number, because the mean of its divisors is an integer number (4778496).

Almost surely, 2^122738610 is an apocalyptic number.

122738610 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 122738610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152911872).

122738610 is an abundant number, since it is smaller than the sum of its proper divisors (183085134).

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

122738610 is a wasteful number, since it uses less digits than its factorization.

122738610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 122738610 is about 11078.7458676513. The cubic root of 122738610 is about 496.9664456509.

The spelling of 122738610 in words is "one hundred twenty-two million, seven hundred thirty-eight thousand, six hundred ten".