122066560 has 128 divisors (see below), whose sum is σ = 363968640. Its totient is φ = 38031360.

The previous prime is 122066533. The next prime is 122066573. The reversal of 122066560 is 65660221.

122066560 = 360² + 361² + ... + 744².

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48042 + ... + 50518.

It is an arithmetic number, because the mean of its divisors is an integer number (2843505).

Almost surely, 2^122066560 is an apocalyptic number.

122066560 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 122066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181984320).

122066560 is an abundant number, since it is smaller than the sum of its proper divisors (241902080).

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

122066560 is a wasteful number, since it uses less digits than its factorization.

122066560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 122066560 is about 11048.3736359701. The cubic root of 122066560 is about 496.0577456182.

The spelling of 122066560 in words is "one hundred twenty-two million, sixty-six thousand, five hundred sixty".