12200011010010 has 128 divisors (see below), whose sum is σ = 32723628480000. Its totient is φ = 3234336500736.

The previous prime is 12200011010003. The next prime is 12200011010059. The reversal of 12200011010010 is 1001011000221.

It is a happy number.

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 = 12200011009974 and 12200011010001.

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, 65941794 + ... + 66126546.

It is an arithmetic number, because the mean of its divisors is an integer number (255653347500).

Almost surely, 2^{12200011010010} is an apocalyptic number.

12200011010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12200011010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16361814240000).

12200011010010 is an abundant number, since it is smaller than the sum of its proper divisors (20523617469990).

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

12200011010010 is a wasteful number, since it uses less digits than its factorization.

12200011010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186197 (or 186191 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12200011010010 its reverse (1001011000221), we get a palindrome (13201022010231).

The spelling of 12200011010010 in words is "twelve trillion, two hundred billion, eleven million, ten thousand, ten".