123450700032 has 216 divisors, whose sum is σ = 388653763680. Its totient is φ = 37374935040.

The previous prime is 123450700027. The next prime is 123450700049. The reversal of 123450700032 is 230007054321.

123450700032 is a `hidden beast` number, since 123 + 4 + 507 + 0 + 0 + 0 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 123450699969 and 123450700005.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47315944 + ... + 47318552.

It is an arithmetic number, because the mean of its divisors is an integer number (1799322980).

Almost surely, 2^123450700032 is an apocalyptic number.

123450700032 is a gapful number since it is divisible by the number (12) 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 123450700032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194326881840).

123450700032 is an abundant number, since it is smaller than the sum of its proper divisors (265203063648).

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

123450700032 is a wasteful number, since it uses less digits than its factorization.

123450700032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4509 (or 4492 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

Adding to 123450700032 its reverse (230007054321), we get a palindrome (353457754353).

The spelling of 123450700032 in words is "one hundred twenty-three billion, four hundred fifty million, seven hundred thousand, thirty-two".