10122120211200 has 216 divisors, whose sum is σ = 33484857873600. Its totient is φ = 2692787834880.

The previous prime is 10122120211199. The next prime is 10122120211237. The reversal of 10122120211200 is 211202122101.

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 10122120211200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7415691 + ... + 8673909.

Almost surely, 2^{10122120211200} is an apocalyptic number.

10122120211200 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 10122120211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16742428936800).

10122120211200 is an abundant number, since it is smaller than the sum of its proper divisors (23362737662400).

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

10122120211200 is a wasteful number, since it uses less digits than its factorization.

10122120211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258667 (or 1258648 counting only the distinct ones).

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

Adding to 10122120211200 its reverse (211202122101), we get a palindrome (10333322333301).

The spelling of 10122120211200 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty million, two hundred eleven thousand, two hundred".