122893680 has 320 divisors, whose sum is σ = 497968128. Its totient is φ = 24330240.

The previous prime is 122893657. The next prime is 122893681. The reversal of 122893680 is 86398221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122893681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 371115 + ... + 371445.

Almost surely, 2^122893680 is an apocalyptic number.

122893680 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 122893680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248984064).

122893680 is an abundant number, since it is smaller than the sum of its proper divisors (375074448).

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

122893680 is a wasteful number, since it uses less digits than its factorization.

122893680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 122893680 is about 11085.7421943684. The cubic root of 122893680 is about 497.1756494610.

The spelling of 122893680 in words is "one hundred twenty-two million, eight hundred ninety-three thousand, six hundred eighty".