123496392960000 has 480 divisors, whose sum is σ = 457136177097600. Its totient is φ = 32932362240000.

The previous prime is 123496392959999. The next prime is 123496392960001. The reversal of 123496392960000 is 69293694321.

123496392960000 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 9 + 6 + 3 + 9 + 29 + 600 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (123496392959999) and next prime (123496392960001).

It is a tau number, because it is divible by the number of its divisors (480).

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 (123496392960001) 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 39 ways as a sum of consecutive naturals, for example, 32773305 + ... + 36346695.

It is an arithmetic number, because the mean of its divisors is an integer number (952367035620).

Almost surely, 2^{123496392960000} is an apocalyptic number.

123496392960000 is a gapful number since it is divisible by the number (10) 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 123496392960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228568088548800).

123496392960000 is an abundant number, since it is smaller than the sum of its proper divisors (333639784137600).

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

123496392960000 is an frugal number, since it uses more digits than its factorization.

123496392960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3573442 (or 3573401 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 123496392960000 in words is "one hundred twenty-three trillion, four hundred ninety-six billion, three hundred ninety-two million, nine hundred sixty thousand".