120211122112001 has 8 divisors (see below), whose sum is σ = 121617346662120. Its totient is φ = 118812560911488.

The previous prime is 120211122111979. The next prime is 120211122112031. The reversal of 120211122112001 is 100211221112021.

It can be written as a sum of positive squares in 4 ways, for example, as 18054417404401 + 102156704707600 = 4249049^2 + 10107260^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120211122112001 - 2⁴² = 115813075600897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120211122112031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1915805846 + ... + 1915868591.

It is an arithmetic number, because the mean of its divisors is an integer number (15202168332765).

Almost surely, 2^{120211122112001} is an apocalyptic number.

It is an amenable number.

120211122112001 is a deficient number, since it is larger than the sum of its proper divisors (1406224550119).

120211122112001 is a wasteful number, since it uses less digits than its factorization.

120211122112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3831674803.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 120211122112001 its reverse (100211221112021), we get a palindrome (220422343224022).

The spelling of 120211122112001 in words is "one hundred twenty trillion, two hundred eleven billion, one hundred twenty-two million, one hundred twelve thousand, one".