120121212212001 has 144 divisors (see below), whose sum is σ = 243531110991168. Its totient is φ = 56043807724800.

The previous prime is 120121212211963. The next prime is 120121212212009. The reversal of 120121212212001 is 100212212121021.

120121212212001 is a `hidden beast` number, since 1 + 201 + 21 + 21 + 221 + 200 + 1 = 666.

It is not a de Polignac number, because 120121212212001 - 2⁷ = 120121212211873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120121212212009) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23406955 + ... + 28073616.

It is an arithmetic number, because the mean of its divisors is an integer number (1691188270772).

Almost surely, 2^{120121212212001} is an apocalyptic number.

120121212212001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120121212212001 is an abundant number, since it is smaller than the sum of its proper divisors (123409898779167).

120121212212001 is a wasteful number, since it uses less digits than its factorization.

120121212212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51480652 (or 51480642 counting only the distinct ones).

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

Adding to 120121212212001 its reverse (100212212121021), we get a palindrome (220333424333022).

It can be divided in two parts, 120 and 121212212001, that added together give a palindrome (121212212121).

The spelling of 120121212212001 in words is "one hundred twenty trillion, one hundred twenty-one billion, two hundred twelve million, two hundred twelve thousand, one".