12923436240 has 480 divisors, whose sum is σ = 52646630400. Its totient is φ = 2797977600.

The previous prime is 12923436223. The next prime is 12923436269. The reversal of 12923436240 is 4263432921.

12923436240 is a `hidden beast` number, since 1 + 2 + 9 + 23 + 4 + 3 + 624 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12923436195 and 12923436204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3189736 + ... + 3193784.

It is an arithmetic number, because the mean of its divisors is an integer number (109680480).

Almost surely, 2^12923436240 is an apocalyptic number.

12923436240 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 12923436240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26323315200).

12923436240 is an abundant number, since it is smaller than the sum of its proper divisors (39723194160).

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

12923436240 is a wasteful number, since it uses less digits than its factorization.

12923436240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4123 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 12923436240 in words is "twelve billion, nine hundred twenty-three million, four hundred thirty-six thousand, two hundred forty".