123413461120 has 128 divisors (see below), whose sum is σ = 313876684800. Its totient is φ = 46240481280.

The previous prime is 123413461079. The next prime is 123413461133. The reversal of 123413461120 is 21164314321.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×123413461120³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2268801 + ... + 2322559.

It is an arithmetic number, because the mean of its divisors is an integer number (2452161600).

Almost surely, 2^123413461120 is an apocalyptic number.

123413461120 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 123413461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156938342400).

123413461120 is an abundant number, since it is smaller than the sum of its proper divisors (190463223680).

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

123413461120 is a wasteful number, since it uses less digits than its factorization.

123413461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54006 (or 53994 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 123413461120 its reverse (21164314321), we get a palindrome (144577775441).

The spelling of 123413461120 in words is "one hundred twenty-three billion, four hundred thirteen million, four hundred sixty-one thousand, one hundred twenty".