10312201032000 has 448 divisors, whose sum is σ = 39967089317376. Its totient is φ = 2293368422400.

The previous prime is 10312201031933. The next prime is 10312201032043. The reversal of 10312201032000 is 23010221301.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

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, 5386512 + ... + 7045488.

Almost surely, 2^{10312201032000} is an apocalyptic number.

10312201032000 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 10312201032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19983544658688).

10312201032000 is an abundant number, since it is smaller than the sum of its proper divisors (29654888285376).

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

10312201032000 is a wasteful number, since it uses less digits than its factorization.

10312201032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659051 (or 1659031 counting only the distinct ones).

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

Adding to 10312201032000 its reverse (23010221301), we get a palindrome (10335211253301).

The spelling of 10312201032000 in words is "ten trillion, three hundred twelve billion, two hundred one million, thirty-two thousand".