123747120 has 240 divisors, whose sum is σ = 486849792. Its totient is φ = 27578880.

The previous prime is 123747083. The next prime is 123747121. The reversal of 123747120 is 21747321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (123747121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216435 + ... + 217005.

Almost surely, 2^123747120 is an apocalyptic number.

123747120 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 123747120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243424896).

123747120 is an abundant number, since it is smaller than the sum of its proper divisors (363102672).

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

123747120 is a wasteful number, since it uses less digits than its factorization.

123747120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 123747120 is about 11124.1682835168. The cubic root of 123747120 is about 498.3238808611.

The spelling of 123747120 in words is "one hundred twenty-three million, seven hundred forty-seven thousand, one hundred twenty".