10312232232000 has 224 divisors, whose sum is σ = 36053991717120. Its totient is φ = 2588167987200.

The previous prime is 10312232231993. The next prime is 10312232232023. The reversal of 10312232232000 is 23223221301.

It is a happy number.

It is a super-3 number, since 3×10312232232000³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12229540 + ... + 13045539.

Almost surely, 2^{10312232232000} is an apocalyptic number.

10312232232000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10312232232000 is an abundant number, since it is smaller than the sum of its proper divisors (25741759485120).

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

10312232232000 is a wasteful number, since it uses less digits than its factorization.

10312232232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25275126 (or 25275106 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10312232232000 its reverse (23223221301), we get a palindrome (10335455453301).

The spelling of 10312232232000 in words is "ten trillion, three hundred twelve billion, two hundred thirty-two million, two hundred thirty-two thousand".