11957133312 has 168 divisors, whose sum is σ = 34839956736. Its totient is φ = 3951230976.

The previous prime is 11957133283. The next prime is 11957133361. The reversal of 11957133312 is 21333175911.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9362818 + ... + 9364094.

Almost surely, 2^11957133312 is an apocalyptic number.

11957133312 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 11957133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17419978368).

11957133312 is an abundant number, since it is smaller than the sum of its proper divisors (22882823424).

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

11957133312 is a wasteful number, since it uses less digits than its factorization.

11957133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1409 counting only the distinct ones).

The product of its digits is 17010, while the sum is 36.

It can be divided in two parts, 1195713 and 3312, that added together give a square (1199025 = 1095²).

The spelling of 11957133312 in words is "eleven billion, nine hundred fifty-seven million, one hundred thirty-three thousand, three hundred twelve".