10012213201200 has 240 divisors, whose sum is σ = 36917939600640. Its totient is φ = 2272041538560.

The previous prime is 10012213201163. The next prime is 10012213201201. The reversal of 10012213201200 is 210231221001.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10012213201200.

It is not an unprimeable number, because it can be changed into a prime (10012213201201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3119919 + ... + 5455118.

It is an arithmetic number, because the mean of its divisors is an integer number (153824748336).

Almost surely, 2^{10012213201200} is an apocalyptic number.

10012213201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012213201200 is an abundant number, since it is smaller than the sum of its proper divisors (26905726399440).

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

10012213201200 is a wasteful number, since it uses less digits than its factorization.

10012213201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8575204 (or 8575193 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10012213201200 its reverse (210231221001), we get a palindrome (10222444422201).

The spelling of 10012213201200 in words is "ten trillion, twelve billion, two hundred thirteen million, two hundred one thousand, two hundred".