120201211100012 has 96 divisors (see below), whose sum is σ = 256224007323648. Its totient is φ = 48220607248704.

The previous prime is 120201211099993. The next prime is 120201211100017. The reversal of 120201211100012 is 210001112102021.

It is a super-2 number, since 2×120201211100012² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a self number, because there is not a number n which added to its sum of digits gives 120201211100012.

It is not an unprimeable number, because it can be changed into a prime (120201211100017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246349673 + ... + 246837119.

It is an arithmetic number, because the mean of its divisors is an integer number (2669000076288).

Almost surely, 2^{120201211100012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120201211100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128112003661824).

120201211100012 is an abundant number, since it is smaller than the sum of its proper divisors (136022796223636).

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

120201211100012 is a wasteful number, since it uses less digits than its factorization.

120201211100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495675 (or 495673 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 120201211100012 its reverse (210001112102021), we get a palindrome (330202323202033).

The spelling of 120201211100012 in words is "one hundred twenty trillion, two hundred one billion, two hundred eleven million, one hundred thousand, twelve".