123971747042304 has 352 divisors, whose sum is σ = 424773749497600. Its totient is φ = 35420494675968.

The previous prime is 123971747042287. The next prime is 123971747042393. The reversal of 123971747042304 is 403240747179321.

123971747042304 is a `hidden beast` number, since 1 + 2 + 3 + 97 + 17 + 470 + 42 + 30 + 4 = 666.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 11722332 + ... + 19630500.

Almost surely, 2^{123971747042304} is an apocalyptic number.

123971747042304 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 123971747042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212386874748800).

123971747042304 is an abundant number, since it is smaller than the sum of its proper divisors (300802002455296).

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

123971747042304 is an frugal number, since it uses more digits than its factorization.

123971747042304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7908217 (or 7908181 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 123971747042304 in words is "one hundred twenty-three trillion, nine hundred seventy-one billion, seven hundred forty-seven million, forty-two thousand, three hundred four".