123561234720 has 1152 divisors, whose sum is σ = 560431872000. Its totient is φ = 24013946880.

The previous prime is 123561234707. The next prime is 123561234721. The reversal of 123561234720 is 27432165321.

123561234720 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 612 + 34 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (123561234721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 187497751 + ... + 187498409.

It is an arithmetic number, because the mean of its divisors is an integer number (486486000).

Almost surely, 2^123561234720 is an apocalyptic number.

123561234720 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 123561234720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280215936000).

123561234720 is an abundant number, since it is smaller than the sum of its proper divisors (436870637280).

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

123561234720 is a wasteful number, since it uses less digits than its factorization.

123561234720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

It can be divided in two parts, 123561 and 234720, that added together give a triangular number (358281 = T₈₄₆).

The spelling of 123561234720 in words is "one hundred twenty-three billion, five hundred sixty-one million, two hundred thirty-four thousand, seven hundred twenty".