122083680 has 96 divisors (see below), whose sum is σ = 387120384. Its totient is φ = 32339456.

The previous prime is 122083627. The next prime is 122083711. The reversal of 122083680 is 86380221.

It is a tau number, because it is divible by the number of its divisors (96).

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

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 15 ways as a sum of consecutive naturals, for example, 79399 + ... + 80921.

It is an arithmetic number, because the mean of its divisors is an integer number (4032504).

Almost surely, 2^122083680 is an apocalyptic number.

122083680 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 122083680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193560192).

122083680 is an abundant number, since it is smaller than the sum of its proper divisors (265036704).

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

122083680 is a wasteful number, since it uses less digits than its factorization.

122083680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 122083680 is about 11049.1483834728. The cubic root of 122083680 is about 496.0809354571.

The spelling of 122083680 in words is "one hundred twenty-two million, eighty-three thousand, six hundred eighty".