123749640000 has 560 divisors, whose sum is σ = 519581180800. Its totient is φ = 28283904000.

The previous prime is 123749639963. The next prime is 123749640029. The reversal of 123749640000 is 46947321.

123749640000 is a `hidden beast` number, since 1 + 2 + 3 + 7 + 4 + 9 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7551816 + ... + 7568184.

Almost surely, 2^123749640000 is an apocalyptic number.

123749640000 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 123749640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259790590400).

123749640000 is an abundant number, since it is smaller than the sum of its proper divisors (395831540800).

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

123749640000 is an equidigital number, since it uses as much as digits as its factorization.

123749640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16417 (or 16386 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 123749640000 in words is "one hundred twenty-three billion, seven hundred forty-nine million, six hundred forty thousand".