10206232006000 has 80 divisors (see below), whose sum is σ = 24707604737088. Its totient is φ = 4077706080000.

The previous prime is 10206232005941. The next prime is 10206232006021. The reversal of 10206232006000 is 60023260201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1285276 + ... + 4697275.

Almost surely, 2^{10206232006000} is an apocalyptic number.

10206232006000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10206232006000 is an abundant number, since it is smaller than the sum of its proper divisors (14501372731088).

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

10206232006000 is an equidigital number, since it uses as much as digits as its factorization.

10206232006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5983427 (or 5983411 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 10206232006000 its reverse (60023260201), we get a palindrome (10266255266201).

The spelling of 10206232006000 in words is "ten trillion, two hundred six billion, two hundred thirty-two million, six thousand".