122407680 has 144 divisors (see below), whose sum is σ = 395587584. Its totient is φ = 32256000.

The previous prime is 122407651. The next prime is 122407711. The reversal of 122407680 is 86704221.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 487555 + ... + 487805.

It is an arithmetic number, because the mean of its divisors is an integer number (2747136).

Almost surely, 2^122407680 is an apocalyptic number.

122407680 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 122407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197793792).

122407680 is an abundant number, since it is smaller than the sum of its proper divisors (273179904).

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

122407680 is a wasteful number, since it uses less digits than its factorization.

122407680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 122407680 is about 11063.8004320396. The cubic root of 122407680 is about 496.5194004076.

The spelling of 122407680 in words is "one hundred twenty-two million, four hundred seven thousand, six hundred eighty".