122965920 has 288 divisors, whose sum is σ = 523635840. Its totient is φ = 25528320.

The previous prime is 122965907. The next prime is 122965943. The reversal of 122965920 is 29569221.

It is a happy number.

It is a Cunningham number, because it is equal to 11089²-1.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 110326 + ... + 111434.

It is an arithmetic number, because the mean of its divisors is an integer number (1818180).

Almost surely, 2^122965920 is an apocalyptic number.

122965920 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 122965920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261817920).

122965920 is an abundant number, since it is smaller than the sum of its proper divisors (400669920).

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

122965920 is a wasteful number, since it uses less digits than its factorization.

122965920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 122965920 is about 11088.9999549103. Note that the first 4 decimals coincide. The cubic root of 122965920 is about 497.2730478349.

The spelling of 122965920 in words is "one hundred twenty-two million, nine hundred sixty-five thousand, nine hundred twenty".