123001333113120 has 384 divisors, whose sum is σ = 483099829696512. Its totient is φ = 25556599603200.

The previous prime is 123001333113103. The next prime is 123001333113121. The reversal of 123001333113120 is 21311333100321.

123001333113120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123001333113120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (123001333113121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 467079727 + ... + 467342993.

It is an arithmetic number, because the mean of its divisors is an integer number (1258072473168).

Almost surely, 2^{123001333113120} is an apocalyptic number.

123001333113120 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 123001333113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241549914848256).

123001333113120 is an abundant number, since it is smaller than the sum of its proper divisors (360098496583392).

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

123001333113120 is a wasteful number, since it uses less digits than its factorization.

123001333113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275944 (or 275936 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 123001333113120 its reverse (21311333100321), we get a palindrome (144312666213441).

The spelling of 123001333113120 in words is "one hundred twenty-three trillion, one billion, three hundred thirty-three million, one hundred thirteen thousand, one hundred twenty".