10120000121200 has 30 divisors (see below), whose sum is σ = 24313300292144. Its totient is φ = 4048000048320.

The previous prime is 10120000121177. The next prime is 10120000121201. The reversal of 10120000121200 is 212100002101.

It is a Harshad number since it is a multiple of its sum of digits (10).

10120000121200 is a modest number, since divided by 121200 gives 101200 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120000121201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12649999752 + ... + 12650000551.

Almost surely, 2^{10120000121200} is an apocalyptic number.

10120000121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120000121200 is an abundant number, since it is smaller than the sum of its proper divisors (14193300170944).

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

10120000121200 is a wasteful number, since it uses less digits than its factorization.

10120000121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25300000321 (or 25300000310 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10120000121200 its reverse (212100002101), we get a palindrome (10332100123301).

The spelling of 10120000121200 in words is "ten trillion, one hundred twenty billion, one hundred twenty-one thousand, two hundred".