10431271200 has 144 divisors (see below), whose sum is σ = 38804391360. Its totient is φ = 2384286720.

The previous prime is 10431271177. The next prime is 10431271211. The reversal of 10431271200 is 217213401.

It is a super-2 number, since 2×10431271200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293655 + ... + 327254.

It is an arithmetic number, because the mean of its divisors is an integer number (269474940).

Almost surely, 2^10431271200 is an apocalyptic number.

10431271200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10431271200 is an abundant number, since it is smaller than the sum of its proper divisors (28373120160).

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

10431271200 is a wasteful number, since it uses less digits than its factorization.

10431271200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620939 (or 620926 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

Adding to 10431271200 its reverse (217213401), we get a palindrome (10648484601).

The spelling of 10431271200 in words is "ten billion, four hundred thirty-one million, two hundred seventy-one thousand, two hundred".