10120211221200 has 60 divisors (see below), whose sum is σ = 32418409949088. Its totient is φ = 2698722992000.

The previous prime is 10120211221193. The next prime is 10120211221229. The reversal of 10120211221200 is 212211202101.

It is a tau number, because it is divible by the number of its divisors (60).

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 10120211221200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4216753476 + ... + 4216755875.

Almost surely, 2^{10120211221200} is an apocalyptic number.

10120211221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120211221200 is an abundant number, since it is smaller than the sum of its proper divisors (22298198727888).

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

10120211221200 is a wasteful number, since it uses less digits than its factorization.

10120211221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8433509372 (or 8433509361 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10120211221200 its reverse (212211202101), we get a palindrome (10332422423301).

The spelling of 10120211221200 in words is "ten trillion, one hundred twenty billion, two hundred eleven million, two hundred twenty-one thousand, two hundred".