120012122100 has 216 divisors, whose sum is σ = 377001620352. Its totient is φ = 29462784000.

The previous prime is 120012122077. The next prime is 120012122107. The reversal of 120012122100 is 1221210021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120012122107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20327749 + ... + 20333651.

It is an arithmetic number, because the mean of its divisors is an integer number (1745377872).

Almost surely, 2^120012122100 is an apocalyptic number.

120012122100 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 120012122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188500810176).

120012122100 is an abundant number, since it is smaller than the sum of its proper divisors (256989498252).

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

120012122100 is a wasteful number, since it uses less digits than its factorization.

120012122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6347 (or 6327 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120012122100 its reverse (1221210021), we get a palindrome (121233332121).

It can be divided in two parts, 1200121 and 22100, that added together give a palindrome (1222221).

The spelling of 120012122100 in words is "one hundred twenty billion, twelve million, one hundred twenty-two thousand, one hundred".