11957430951312 has 480 divisors, whose sum is σ = 40242225475584. Its totient is φ = 3023935488000.

The previous prime is 11957430951281. The next prime is 11957430951353. The reversal of 11957430951312 is 21315903475911.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 234659437 + ... + 234710387.

Almost surely, 2^{11957430951312} is an apocalyptic number.

11957430951312 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 11957430951312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20121112737792).

11957430951312 is an abundant number, since it is smaller than the sum of its proper divisors (28284794524272).

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

11957430951312 is a wasteful number, since it uses less digits than its factorization.

11957430951312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51227 (or 51214 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 51.

The spelling of 11957430951312 in words is "eleven trillion, nine hundred fifty-seven billion, four hundred thirty million, nine hundred fifty-one thousand, three hundred twelve".