12120535103040 has 2688 divisors, whose sum is σ = 59317166039040. Its totient is φ = 2279762952192.

The previous prime is 12120535102993. The next prime is 12120535103069. The reversal of 12120535103040 is 4030153502121.

12120535103040 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 0 + 5 + 351 + 0 + 304 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12120535102995 and 12120535103013.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2285597029 + ... + 2285602331.

It is an arithmetic number, because the mean of its divisors is an integer number (22067398080).

Almost surely, 2^{12120535103040} is an apocalyptic number.

12120535103040 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 12120535103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29658583019520).

12120535103040 is an abundant number, since it is smaller than the sum of its proper divisors (47196630936000).

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

12120535103040 is a wasteful number, since it uses less digits than its factorization.

12120535103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5391 (or 5369 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 12120535103040 its reverse (4030153502121), we get a palindrome (16150688605161).

The spelling of 12120535103040 in words is "twelve trillion, one hundred twenty billion, five hundred thirty-five million, one hundred three thousand, forty".