10005430602120 has 256 divisors, whose sum is σ = 30584784384000. Its totient is φ = 2618053042176.

The previous prime is 10005430602047. The next prime is 10005430602133. The reversal of 10005430602120 is 2120603450001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1027352211 + ... + 1027361949.

It is an arithmetic number, because the mean of its divisors is an integer number (119471814000).

Almost surely, 2^{10005430602120} is an apocalyptic number.

10005430602120 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 10005430602120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15292392192000).

10005430602120 is an abundant number, since it is smaller than the sum of its proper divisors (20579353781880).

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

10005430602120 is a wasteful number, since it uses less digits than its factorization.

10005430602120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10492 (or 10488 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 10005430602120 in words is "ten trillion, five billion, four hundred thirty million, six hundred two thousand, one hundred twenty".