123127293456 has 640 divisors, whose sum is σ = 406465413120. Its totient is φ = 35483443200.

The previous prime is 123127293403. The next prime is 123127293467. The reversal of 123127293456 is 654392721321.

It is a happy number.

123127293456 is a `hidden beast` number, since 1 + 2 + 31 + 272 + 9 + 345 + 6 = 666.

Its product of digits (544320) is a multiple of the sum of its prime divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 395907541 + ... + 395907851.

It is an arithmetic number, because the mean of its divisors is an integer number (635102208).

Almost surely, 2^123127293456 is an apocalyptic number.

123127293456 is a gapful number since it is divisible by the number (16) 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 123127293456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203232706560).

123127293456 is an abundant number, since it is smaller than the sum of its proper divisors (283338119664).

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

123127293456 is a wasteful number, since it uses less digits than its factorization.

123127293456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 448 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 123127293456 in words is "one hundred twenty-three billion, one hundred twenty-seven million, two hundred ninety-three thousand, four hundred fifty-six".