123412476096 has 1344 divisors, whose sum is σ = 487102586880. Its totient is φ = 30098718720.

The previous prime is 123412476079. The next prime is 123412476107. The reversal of 123412476096 is 690674214321.

123412476096 is a `hidden beast` number, since 1 + 2 + 34 + 1 + 2 + 4 + 7 + 609 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×123412476096² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1272293520 + ... + 1272293616.

It is an arithmetic number, because the mean of its divisors is an integer number (362427520).

Almost surely, 2^123412476096 is an apocalyptic number.

123412476096 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 123412476096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243551293440).

123412476096 is an abundant number, since it is smaller than the sum of its proper divisors (363690110784).

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

123412476096 is a wasteful number, since it uses less digits than its factorization.

123412476096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 123412476096 in words is "one hundred twenty-three billion, four hundred twelve million, four hundred seventy-six thousand, ninety-six".