30412101132240 has 160 divisors (see below), whose sum is σ = 94523950080000. Its totient is φ = 8088712634880.

The previous prime is 30412101132233. The next prime is 30412101132251. The reversal of 30412101132240 is 4223110121403.

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

It is a self number, because there is not a number n which added to its sum of digits gives 30412101132240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221919261 + ... + 222056259.

It is an arithmetic number, because the mean of its divisors is an integer number (590774688000).

Almost surely, 2^{30412101132240} is an apocalyptic number.

30412101132240 is a gapful number since it is divisible by the number (30) 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 30412101132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47261975040000).

30412101132240 is an abundant number, since it is smaller than the sum of its proper divisors (64111848947760).

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

30412101132240 is a wasteful number, since it uses less digits than its factorization.

30412101132240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139425 (or 139419 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 30412101132240 its reverse (4223110121403), we get a palindrome (34635211253643).

The spelling of 30412101132240 in words is "thirty trillion, four hundred twelve billion, one hundred one million, one hundred thirty-two thousand, two hundred forty".