123872146560 has 448 divisors, whose sum is σ = 450200535480. Its totient is φ = 32571113472.

The previous prime is 123872146549. The next prime is 123872146609. The reversal of 123872146560 is 65641278321.

123872146560 is a `hidden beast` number, since 1 + 2 + 3 + 8 + 72 + 14 + 6 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 67520983104 + 56351163456 = 259848^2 + 237384^2 .

It is a super-3 number, since 3×123872146560³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 34057062 + ... + 34060698.

Almost surely, 2^123872146560 is an apocalyptic number.

123872146560 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 123872146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225100267740).

123872146560 is an abundant number, since it is smaller than the sum of its proper divisors (326328388920).

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

123872146560 is an frugal number, since it uses more digits than its factorization.

123872146560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3747 (or 3720 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 123872146560 in words is "one hundred twenty-three billion, eight hundred seventy-two million, one hundred forty-six thousand, five hundred sixty".