10012200012 has 72 divisors (see below), whose sum is σ = 26546249184. Its totient is φ = 3175704576.

The previous prime is 10012199987. The next prime is 10012200053. The reversal of 10012200012 is 21000221001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10012199967 and 10012200003.

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 23 ways as a sum of consecutive naturals, for example, 128478 + ... + 191130.

Almost surely, 2^10012200012 is an apocalyptic number.

10012200012 is a gapful number since it is divisible by the number (12) 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 10012200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13273124592).

10012200012 is an abundant number, since it is smaller than the sum of its proper divisors (16534049172).

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

10012200012 is a wasteful number, since it uses less digits than its factorization.

10012200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62879 (or 62874 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10012200012 its reverse (21000221001), we get a palindrome (31012421013).

The spelling of 10012200012 in words is "ten billion, twelve million, two hundred thousand, twelve".