123070663872 has 840 divisors, whose sum is σ = 427986931680. Its totient is φ = 34743582720.

The previous prime is 123070663871. The next prime is 123070663873. The reversal of 123070663872 is 278366070321.

123070663872 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 7 + 0 + 6 + 638 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (123070663871) and next prime (123070663873).

It is not an unprimeable number, because it can be changed into a prime (123070663871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1382816404 + ... + 1382816492.

It is an arithmetic number, because the mean of its divisors is an integer number (509508252).

Almost surely, 2^123070663872 is an apocalyptic number.

123070663872 is a gapful number since it is divisible by the number (12) 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 123070663872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213993465840).

123070663872 is an abundant number, since it is smaller than the sum of its proper divisors (304916267808).

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

123070663872 is a wasteful number, since it uses less digits than its factorization.

123070663872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 123070663872 in words is "one hundred twenty-three billion, seventy million, six hundred sixty-three thousand, eight hundred seventy-two".