120211212221100 has 2304 divisors, whose sum is σ = 524527761408000. Its totient is φ = 22807841587200.

The previous prime is 120211212221099. The next prime is 120211212221117. The reversal of 120211212221100 is 1122212112021.

120211212221100 is a `hidden beast` number, since 1 + 20 + 211 + 212 + 221 + 1 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 162667404531 + ... + 162667405269.

Almost surely, 2^{120211212221100} is an apocalyptic number.

120211212221100 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 120211212221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262263880704000).

120211212221100 is an abundant number, since it is smaller than the sum of its proper divisors (404316549186900).

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

120211212221100 is a wasteful number, since it uses less digits than its factorization.

120211212221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1352 counting only the distinct ones).

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

Adding to 120211212221100 its reverse (1122212112021), we get a palindrome (121333424333121).

The spelling of 120211212221100 in words is "one hundred twenty trillion, two hundred eleven billion, two hundred twelve million, two hundred twenty-one thousand, one hundred".