122098960 has 40 divisors (see below), whose sum is σ = 284903640. Its totient is φ = 48663552.

The previous prime is 122098957. The next prime is 122098969. The reversal of 122098960 is 69890221.

It can be written as a sum of positive squares in 4 ways, for example, as 77369616 + 44729344 = 8796^2 + 6688^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (122098969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20836 + ... + 26044.

It is an arithmetic number, because the mean of its divisors is an integer number (7122591).

Almost surely, 2^122098960 is an apocalyptic number.

122098960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122098960 is an abundant number, since it is smaller than the sum of its proper divisors (162804680).

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

122098960 is a wasteful number, since it uses less digits than its factorization.

122098960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5515 (or 5509 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 122098960 is about 11049.8398178435. The cubic root of 122098960 is about 496.1016310993.

The spelling of 122098960 in words is "one hundred twenty-two million, ninety-eight thousand, nine hundred sixty".