120201012220311 has 96 divisors (see below), whose sum is σ = 202133301866496. Its totient is φ = 70754839740000.

The previous prime is 120201012220307. The next prime is 120201012220319. The reversal of 120201012220311 is 113022210102021.

120201012220311 is a `hidden beast` number, since 1 + 202 + 0 + 10 + 122 + 20 + 311 = 666.

It is not a de Polignac number, because 120201012220311 - 2² = 120201012220307 is a prime.

It is a super-3 number, since 3×120201012220311³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120201012220319) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12805836 + ... + 20109486.

It is an arithmetic number, because the mean of its divisors is an integer number (2105555227776).

Almost surely, 2^{120201012220311} is an apocalyptic number.

120201012220311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120201012220311 is a deficient number, since it is larger than the sum of its proper divisors (81932289646185).

120201012220311 is a wasteful number, since it uses less digits than its factorization.

120201012220311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7303855 (or 7303843 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 120201012220311 its reverse (113022210102021), we get a palindrome (233223222322332).

The spelling of 120201012220311 in words is "one hundred twenty trillion, two hundred one billion, twelve million, two hundred twenty thousand, three hundred eleven".