123415120752 has 160 divisors (see below), whose sum is σ = 404993364480. Its totient is φ = 31450997760.

The previous prime is 123415120747. The next prime is 123415120753. The reversal of 123415120752 is 257021514321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123415120753) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 119127 + ... + 510902.

It is an arithmetic number, because the mean of its divisors is an integer number (2531208528).

Almost surely, 2^123415120752 is an apocalyptic number.

123415120752 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 123415120752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202496682240).

123415120752 is an abundant number, since it is smaller than the sum of its proper divisors (281578243728).

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

123415120752 is a wasteful number, since it uses less digits than its factorization.

123415120752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630111 (or 630105 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The spelling of 123415120752 in words is "one hundred twenty-three billion, four hundred fifteen million, one hundred twenty thousand, seven hundred fifty-two".