123144441204240 has 240 divisors, whose sum is σ = 417691906632000. Its totient is φ = 32511868259328.

The previous prime is 123144441204223. The next prime is 123144441204299. The reversal of 123144441204240 is 42402144441321.

123144441204240 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 4 + 4 + 441 + 204 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 123144441204195 and 123144441204204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31065451 + ... + 34804469.

It is an arithmetic number, because the mean of its divisors is an integer number (1740382944300).

Almost surely, 2^{123144441204240} is an apocalyptic number.

123144441204240 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 123144441204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208845953316000).

123144441204240 is an abundant number, since it is smaller than the sum of its proper divisors (294547465427760).

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

123144441204240 is a wasteful number, since it uses less digits than its factorization.

123144441204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3739494 (or 3739485 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 123144441204240 its reverse (42402144441321), we get a palindrome (165546585645561).

The spelling of 123144441204240 in words is "one hundred twenty-three trillion, one hundred forty-four billion, four hundred forty-one million, two hundred four thousand, two hundred forty".