10111212120 has 64 divisors (see below), whose sum is σ = 30348753120. Its totient is φ = 2694979584.

The previous prime is 10111212119. The next prime is 10111212127. The reversal of 10111212120 is 2121211101.

10111212120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10111212120² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10111212096 and 10111212105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111212127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233622 + ... + 273498.

Almost surely, 2^10111212120 is an apocalyptic number.

10111212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111212120 is an abundant number, since it is smaller than the sum of its proper divisors (20237541000).

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

10111212120 is a wasteful number, since it uses less digits than its factorization.

10111212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42004 (or 42000 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10111212120 its reverse (2121211101), we get a palindrome (12232423221).

The spelling of 10111212120 in words is "ten billion, one hundred eleven million, two hundred twelve thousand, one hundred twenty".