2201201031312 has 480 divisors, whose sum is σ = 6585157522944. Its totient is φ = 685504512000.

The previous prime is 2201201031287. The next prime is 2201201031413. The reversal of 2201201031312 is 2131301021022.

2201201031312 is a `hidden beast` number, since 220 + 120 + 1 + 0 + 313 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3662563812 + ... + 3662564412.

Almost surely, 2^{2201201031312} 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 2201201031312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3292578761472).

2201201031312 is an abundant number, since it is smaller than the sum of its proper divisors (4383956491632).

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

2201201031312 is a wasteful number, since it uses less digits than its factorization.

2201201031312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2201201031312 its reverse (2131301021022), we get a palindrome (4332502052334).

The spelling of 2201201031312 in words is "two trillion, two hundred one billion, two hundred one million, thirty-one thousand, three hundred twelve".