1201334034312 has 144 divisors (see below), whose sum is σ = 3408987991500. Its totient is φ = 381737970432.

The previous prime is 1201334034293. The next prime is 1201334034361. The reversal of 1201334034312 is 2134304331021.

It is a happy number.

1201334034312 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 3 + 340 + 3 + 4 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1199931831396 + 1402202916 = 1095414^2 + 37446^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12985114 + ... + 13077302.

Almost surely, 2^{1201334034312} is an apocalyptic number.

1201334034312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201334034312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704493995750).

1201334034312 is an abundant number, since it is smaller than the sum of its proper divisors (2207653957188).

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

1201334034312 is a wasteful number, since it uses less digits than its factorization.

1201334034312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92388 (or 92302 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1201334034312 its reverse (2134304331021), we get a palindrome (3335638365333).

The spelling of 1201334034312 in words is "one trillion, two hundred one billion, three hundred thirty-four million, thirty-four thousand, three hundred twelve".