120212211212100 has 324 divisors, whose sum is σ = 438383377894644. Its totient is φ = 27472891944960.

The previous prime is 120212211212021. The next prime is 120212211212111. The reversal of 120212211212100 is 1212112212021.

120212211212100 is a `hidden beast` number, since 1 + 20 + 212 + 211 + 212 + 10 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 16511349589056 + 103700861623044 = 4063416^2 + 10183362^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 294075052 + ... + 294483548.

Almost surely, 2^{120212211212100} is an apocalyptic number.

120212211212100 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 120212211212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219191688947322).

120212211212100 is an abundant number, since it is smaller than the sum of its proper divisors (318171166682544).

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

120212211212100 is a wasteful number, since it uses less digits than its factorization.

120212211212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415204 (or 415187 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120212211212100 its reverse (1212112212021), we get a palindrome (121424323424121).

The spelling of 120212211212100 in words is "one hundred twenty trillion, two hundred twelve billion, two hundred eleven million, two hundred twelve thousand, one hundred".