122441760 has 192 divisors, whose sum is σ = 489888000. Its totient is φ = 27979776.

The previous prime is 122441749. The next prime is 122441777. The reversal of 122441760 is 67144221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28216 + ... + 32264.

It is an arithmetic number, because the mean of its divisors is an integer number (2551500).

Almost surely, 2^122441760 is an apocalyptic number.

122441760 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 122441760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244944000).

122441760 is an abundant number, since it is smaller than the sum of its proper divisors (367446240).

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

122441760 is a wasteful number, since it uses less digits than its factorization.

122441760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4080 (or 4066 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 122441760 is about 11065.3404827868. The cubic root of 122441760 is about 496.5654754334.

Adding to 122441760 its reverse (67144221), we get a palindrome (189585981).

It can be divided in two parts, 122441 and 760, that added together give a square (123201 = 351²).

The spelling of 122441760 in words is "one hundred twenty-two million, four hundred forty-one thousand, seven hundred sixty".