10012200013200 has 480 divisors, whose sum is σ = 40382328794112. Its totient is φ = 2059856640000.

The previous prime is 10012200013199. The next prime is 10012200013217. The reversal of 10012200013200 is 231000221001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8795979 + ... + 9868821.

Almost surely, 2^{10012200013200} is an apocalyptic number.

10012200013200 is a gapful number since it is divisible by the number (10) 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 10012200013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20191164397056).

10012200013200 is an abundant number, since it is smaller than the sum of its proper divisors (30370128780912).

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

10012200013200 is a wasteful number, since it uses less digits than its factorization.

10012200013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072983 (or 1072972 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10012200013200 its reverse (231000221001), we get a palindrome (10243200234201).

The spelling of 10012200013200 in words is "ten trillion, twelve billion, two hundred million, thirteen thousand, two hundred".