10032041321120 has 192 divisors, whose sum is σ = 29233384621056. Its totient is φ = 3168086446080.

The previous prime is 10032041321119. The next prime is 10032041321149. The reversal of 10032041321120 is 2112314023001.

It is a super-2 number, since 2×10032041321120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10032041321092 and 10032041321101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5964857 + ... + 7459463.

It is an arithmetic number, because the mean of its divisors is an integer number (152257211568).

Almost surely, 2^{10032041321120} is an apocalyptic number.

10032041321120 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 10032041321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14616692310528).

10032041321120 is an abundant number, since it is smaller than the sum of its proper divisors (19201343299936).

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

10032041321120 is a wasteful number, since it uses less digits than its factorization.

10032041321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495103 (or 1495095 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10032041321120 its reverse (2112314023001), we get a palindrome (12144355344121).

The spelling of 10032041321120 in words is "ten trillion, thirty-two billion, forty-one million, three hundred twenty-one thousand, one hundred twenty".