10032122013000 has 256 divisors, whose sum is σ = 31901816044800. Its totient is φ = 2623849113600.

The previous prime is 10032122012923. The next prime is 10032122013013. The reversal of 10032122013000 is 31022123001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 545837811 + ... + 545856189.

It is an arithmetic number, because the mean of its divisors is an integer number (124616468925).

Almost surely, 2^{10032122013000} is an apocalyptic number.

10032122013000 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 10032122013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15950908022400).

10032122013000 is an abundant number, since it is smaller than the sum of its proper divisors (21869694031800).

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

10032122013000 is a wasteful number, since it uses less digits than its factorization.

10032122013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21889 (or 21875 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10032122013000 its reverse (31022123001), we get a palindrome (10063144136001).

The spelling of 10032122013000 in words is "ten trillion, thirty-two billion, one hundred twenty-two million, thirteen thousand".