11912160 has 192 divisors, whose sum is σ = 42674688. Its totient is φ = 2770944.

The previous prime is 11912129. The next prime is 11912171. The reversal of 11912160 is 6121911.

11912160 = T₁ + T₂ + ... + T₄₁₄.

11912160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

11912160 is a nontrivial binomial coefficient, being equal to C(416, 3).

It is a congruent number.

It is an unprimeable number.

It is the 414-th tetrahedral number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143479 + ... + 143561.

It is an arithmetic number, because the mean of its divisors is an integer number (222264).

Almost surely, 2^11912160 is an apocalyptic number.

11912160 is a gapful number since it is divisible by the number (10) 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 11912160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21337344).

11912160 is an abundant number, since it is smaller than the sum of its proper divisors (30762528).

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

11912160 is a wasteful number, since it uses less digits than its factorization.

11912160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

The square root of 11912160 is about 3451.3997160572. The cubic root of 11912160 is about 228.3828593560.

The spelling of 11912160 in words is "eleven million, nine hundred twelve thousand, one hundred sixty".