10032123213000 has 640 divisors, whose sum is σ = 41009671422720. Its totient is φ = 2239724390400.

The previous prime is 10032123212927. The next prime is 10032123213001. The reversal of 10032123213000 is 31232123001.

10032123213000 is a `hidden beast` number, since 1 + 0 + 0 + 32 + 12 + 321 + 300 + 0 = 666.

10032123213000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10032123213001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 24175264 + ... + 24586736.

It is an arithmetic number, because the mean of its divisors is an integer number (64077611598).

Almost surely, 2^{10032123213000} is an apocalyptic number.

10032123213000 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 10032123213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20504835711360).

10032123213000 is an abundant number, since it is smaller than the sum of its proper divisors (30977548209720).

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

10032123213000 is a wasteful number, since it uses less digits than its factorization.

10032123213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411556 (or 411533 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10032123213000 its reverse (31232123001), we get a palindrome (10063355336001).

The spelling of 10032123213000 in words is "ten trillion, thirty-two billion, one hundred twenty-three million, two hundred thirteen thousand".