123720084 has 72 divisors (see below), whose sum is σ = 334250280. Its totient is φ = 38449152.

The previous prime is 123720053. The next prime is 123720131. The reversal of 123720084 is 480027321.

It can be written as a sum of positive squares in 4 ways, for example, as 27248400 + 96471684 = 5220^2 + 9822^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68262 + ... + 70050.

It is an arithmetic number, because the mean of its divisors is an integer number (4642365).

Almost surely, 2^123720084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123720084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167125140).

123720084 is an abundant number, since it is smaller than the sum of its proper divisors (210530196).

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

123720084 is a wasteful number, since it uses less digits than its factorization.

123720084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 123720084 is about 11122.9530251638. The cubic root of 123720084 is about 498.2875873141.

It can be divided in two parts, 1237 and 20084, that added together give a triangular number (21321 = T₂₀₆).

The spelling of 123720084 in words is "one hundred twenty-three million, seven hundred twenty thousand, eighty-four".