123930293760 has 2560 divisors, whose sum is σ = 613760716800. Its totient is φ = 22932357120.

The previous prime is 123930293713. The next prime is 123930293791. The reversal of 123930293760 is 67392039321.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×123930293760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2031644130 + ... + 2031644190.

It is an arithmetic number, because the mean of its divisors is an integer number (239750280).

Almost surely, 2^123930293760 is an apocalyptic number.

123930293760 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 123930293760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306880358400).

123930293760 is an abundant number, since it is smaller than the sum of its proper divisors (489830423040).

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

123930293760 is a wasteful number, since it uses less digits than its factorization.

123930293760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The spelling of 123930293760 in words is "one hundred twenty-three billion, nine hundred thirty million, two hundred ninety-three thousand, seven hundred sixty".