122761760 has 144 divisors (see below), whose sum is σ = 338444568. Its totient is φ = 41902080.

The previous prime is 122761757. The next prime is 122761783. The reversal of 122761760 is 67167221.

It can be written as a sum of positive squares in 4 ways, for example, as 112444816 + 10316944 = 10604^2 + 3212^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328934 + ... + 329306.

Almost surely, 2^122761760 is an apocalyptic number.

122761760 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 122761760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169222284).

122761760 is an abundant number, since it is smaller than the sum of its proper divisors (215682808).

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

122761760 is a wasteful number, since it uses less digits than its factorization.

122761760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 122761760 is about 11079.7906117399. The cubic root of 122761760 is about 496.9976883326.

The spelling of 122761760 in words is "one hundred twenty-two million, seven hundred sixty-one thousand, seven hundred sixty".