120202122212001 has 12 divisors (see below), whose sum is σ = 175344349894740. Its totient is φ = 79341334792800.

The previous prime is 120202122211987. The next prime is 120202122212033. The reversal of 120202122212001 is 100212221202021.

It is a happy number.

120202122212001 is a `hidden beast` number, since 12 + 0 + 20 + 212 + 221 + 200 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63129778430625 + 57072343781376 = 7945425^2 + 7554624^2 .

It is not a de Polignac number, because 120202122212001 - 2¹⁵ = 120202122179233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120202122212401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66117778086 + ... + 66117779903.

It is an arithmetic number, because the mean of its divisors is an integer number (14612029157895).

Almost surely, 2^{120202122212001} is an apocalyptic number.

It is an amenable number.

120202122212001 is a deficient number, since it is larger than the sum of its proper divisors (55142227682739).

120202122212001 is a wasteful number, since it uses less digits than its factorization.

120202122212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132235558096 (or 132235558093 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120202122212001 its reverse (100212221202021), we get a palindrome (220414343414022).

The spelling of 120202122212001 in words is "one hundred twenty trillion, two hundred two billion, one hundred twenty-two million, two hundred twelve thousand, one".