1201311312 has 60 divisors (see below), whose sum is σ = 3214199040. Its totient is φ = 386615936.

The previous prime is 1201311277. The next prime is 1201311317. The reversal of 1201311312 is 2131131021.

It is a happy number.

It is a super-2 number, since 2×1201311312² = 2886297736678322688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1201311291 and 1201311300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201311317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25489 + ... + 55247.

It is an arithmetic number, because the mean of its divisors is an integer number (53569984).

Almost surely, 2^1201311312 is an apocalyptic number.

1201311312 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 1201311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607099520).

1201311312 is an abundant number, since it is smaller than the sum of its proper divisors (2012887728).

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

1201311312 is a wasteful number, since it uses less digits than its factorization.

1201311312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29828 (or 29793 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1201311312 is about 34659.9381418952. The cubic root of 1201311312 is about 1063.0455052001.

Adding to 1201311312 its reverse (2131131021), we get a palindrome (3332442333).

The spelling of 1201311312 in words is "one billion, two hundred one million, three hundred eleven thousand, three hundred twelve".