123414720 has 448 divisors, whose sum is σ = 491581440. Its totient is φ = 25804800.

The previous prime is 123414661. The next prime is 123414727. The reversal of 123414720 is 27414321.

It is a happy number.

It is a super-2 number, since 2×123414720² = 30462386225356800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (123414727) 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, 3981105 + ... + 3981135.

It is an arithmetic number, because the mean of its divisors is an integer number (1097280).

Almost surely, 2^123414720 is an apocalyptic number.

123414720 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 123414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245790720).

123414720 is an abundant number, since it is smaller than the sum of its proper divisors (368166720).

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

123414720 is a wasteful number, since it uses less digits than its factorization.

123414720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 123414720 is about 11109.2177942464. The cubic root of 123414720 is about 497.8772943275.

The spelling of 123414720 in words is "one hundred twenty-three million, four hundred fourteen thousand, seven hundred twenty".