123115387968 has 224 divisors, whose sum is σ = 379199160320. Its totient is φ = 39120744960.

The previous prime is 123115387963. The next prime is 123115387973. The reversal of 123115387968 is 869783511321.

123115387968 is a `hidden beast` number, since 1 + 2 + 3 + 11 + 538 + 7 + 96 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (123115387963) and next prime (123115387973).

It is a super-2 number, since 2×123115387968² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (123115387963) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3571905 + ... + 3606207.

Almost surely, 2^123115387968 is an apocalyptic number.

123115387968 is a gapful number since it is divisible by the number (18) 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 123115387968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189599580160).

123115387968 is an abundant number, since it is smaller than the sum of its proper divisors (256083772352).

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

123115387968 is a wasteful number, since it uses less digits than its factorization.

123115387968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34422 (or 34406 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 123115387968 in words is "one hundred twenty-three billion, one hundred fifteen million, three hundred eighty-seven thousand, nine hundred sixty-eight".