123127288704 has 640 divisors, whose sum is σ = 456160320000. Its totient is φ = 32168005632.

The previous prime is 123127288703. The next prime is 123127288777. The reversal of 123127288704 is 407882721321.

123127288704 is a `hidden beast` number, since 1 + 231 + 272 + 88 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 123127288704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123127288703) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39987837 + ... + 39990915.

It is an arithmetic number, because the mean of its divisors is an integer number (712750500).

Almost surely, 2^123127288704 is an apocalyptic number.

123127288704 is a gapful number since it is divisible by the number (14) 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 123127288704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228080160000).

123127288704 is an abundant number, since it is smaller than the sum of its proper divisors (333033031296).

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

123127288704 is a wasteful number, since it uses less digits than its factorization.

123127288704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3160 (or 3139 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 123127288704 in words is "one hundred twenty-three billion, one hundred twenty-seven million, two hundred eighty-eight thousand, seven hundred four".