122641680 has 160 divisors (see below), whose sum is σ = 446471424. Its totient is φ = 27260928.

The previous prime is 122641669. The next prime is 122641693. The reversal of 122641680 is 86146221.

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

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, 61174 + ... + 63146.

Almost surely, 2^122641680 is an apocalyptic number.

122641680 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 122641680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223235712).

122641680 is an abundant number, since it is smaller than the sum of its proper divisors (323829744).

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

122641680 is a wasteful number, since it uses less digits than its factorization.

122641680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033 (or 2027 counting only the distinct ones).

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

The square root of 122641680 is about 11074.3704109985. The cubic root of 122641680 is about 496.8355885832.

It can be divided in two parts, 122641 and 680, that added together give a palindrome (123321).

The spelling of 122641680 in words is "one hundred twenty-two million, six hundred forty-one thousand, six hundred eighty".