123620240760 has 256 divisors, whose sum is σ = 384721920000. Its totient is φ = 31757806080.

The previous prime is 123620240747. The next prime is 123620240801. The reversal of 123620240760 is 67042026321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134515581 + ... + 134516499.

It is an arithmetic number, because the mean of its divisors is an integer number (1502820000).

Almost surely, 2^123620240760 is an apocalyptic number.

123620240760 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 123620240760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192360960000).

123620240760 is an abundant number, since it is smaller than the sum of its proper divisors (261101679240).

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

123620240760 is a wasteful number, since it uses less digits than its factorization.

123620240760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 123620240760 in words is "one hundred twenty-three billion, six hundred twenty million, two hundred forty thousand, seven hundred sixty".