122066640 has 120 divisors (see below), whose sum is σ = 431564640. Its totient is φ = 30834432.

The previous prime is 122066629. The next prime is 122066657. The reversal of 122066640 is 46660221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9219 + ... + 18141.

It is an arithmetic number, because the mean of its divisors is an integer number (3596372).

Almost surely, 2^122066640 is an apocalyptic number.

122066640 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 122066640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215782320).

122066640 is an abundant number, since it is smaller than the sum of its proper divisors (309498000).

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

122066640 is a wasteful number, since it uses less digits than its factorization.

122066640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8961 (or 8952 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 122066640 is about 11048.3772564119. The cubic root of 122066640 is about 496.0578539869.

The spelling of 122066640 in words is "one hundred twenty-two million, sixty-six thousand, six hundred forty".