11612157312 has 128 divisors (see below), whose sum is σ = 35317002240. Its totient is φ = 3311566848.

The previous prime is 11612157259. The next prime is 11612157313. The reversal of 11612157312 is 21375121611.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 11612157312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11612157313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1547233 + ... + 1554719.

It is an arithmetic number, because the mean of its divisors is an integer number (275914080).

Almost surely, 2^11612157312 is an apocalyptic number.

11612157312 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 11612157312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17658501120).

11612157312 is an abundant number, since it is smaller than the sum of its proper divisors (23704844928).

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

11612157312 is an equidigital number, since it uses as much as digits as its factorization.

11612157312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8088 (or 8076 counting only the distinct ones).

The product of its digits is 2520, while the sum is 30.

Adding to 11612157312 its reverse (21375121611), we get a palindrome (32987278923).

The spelling of 11612157312 in words is "eleven billion, six hundred twelve million, one hundred fifty-seven thousand, three hundred twelve".