123870720 has 120 divisors (see below), whose sum is σ = 399141864. Its totient is φ = 32772096.

The previous prime is 123870683. The next prime is 123870737. The reversal of 123870720 is 27078321.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 975297 + ... + 975423.

Almost surely, 2^123870720 is an apocalyptic number.

123870720 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 123870720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199570932).

123870720 is an abundant number, since it is smaller than the sum of its proper divisors (275271144).

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

123870720 is an frugal number, since it uses more digits than its factorization.

123870720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 123870720 is about 11129.7223685050. The cubic root of 123870720 is about 498.4897361324.

Multiplying 123870720 by its sum of digits (30), we get a square (3716121600 = 60960²).

123870720 divided by its sum of digits (30) gives a square (4129024 = 2032²).

The spelling of 123870720 in words is "one hundred twenty-three million, eight hundred seventy thousand, seven hundred twenty".