122035680 has 384 divisors, whose sum is σ = 480090240. Its totient is φ = 28753920.

The previous prime is 122035663. The next prime is 122035687. The reversal of 122035680 is 86530221.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122035687) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2302534 + ... + 2302586.

It is an arithmetic number, because the mean of its divisors is an integer number (1250235).

Almost surely, 2^122035680 is an apocalyptic number.

122035680 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 122035680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240045120).

122035680 is an abundant number, since it is smaller than the sum of its proper divisors (358054560).

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

122035680 is a wasteful number, since it uses less digits than its factorization.

122035680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 122035680 is about 11046.9760568221. The cubic root of 122035680 is about 496.0159117337.

The spelling of 122035680 in words is "one hundred twenty-two million, thirty-five thousand, six hundred eighty".