123420960 has 288 divisors, whose sum is σ = 478820160. Its totient is φ = 28698624.

The previous prime is 123420959. The next prime is 123420961. The reversal of 123420960 is 69024321.

It is an interprime number because it is at equal distance from previous prime (123420959) and next prime (123420961).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123420961) 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 47 ways as a sum of consecutive naturals, for example, 355507 + ... + 355853.

It is an arithmetic number, because the mean of its divisors is an integer number (1662570).

Almost surely, 2^123420960 is an apocalyptic number.

123420960 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 123420960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239410080).

123420960 is an abundant number, since it is smaller than the sum of its proper divisors (355399200).

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

123420960 is a wasteful number, since it uses less digits than its factorization.

123420960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 123420960 is about 11109.4986385525. The cubic root of 123420960 is about 497.8856852821.

The spelling of 123420960 in words is "one hundred twenty-three million, four hundred twenty thousand, nine hundred sixty".