11271237120 has 720 divisors, whose sum is σ = 46355845536. Its totient is φ = 2514124800.

The previous prime is 11271237113. The next prime is 11271237127. The reversal of 11271237120 is 2173217211.

11271237120 is a `hidden beast` number, since 1 + 1 + 271 + 2 + 371 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (11271237113) and next prime (11271237127).

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11271237127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36241765 + ... + 36242075.

Almost surely, 2^11271237120 is an apocalyptic number.

11271237120 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 11271237120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23177922768).

11271237120 is an abundant number, since it is smaller than the sum of its proper divisors (35084608416).

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

11271237120 is a wasteful number, since it uses less digits than its factorization.

11271237120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The spelling of 11271237120 in words is "eleven billion, two hundred seventy-one million, two hundred thirty-seven thousand, one hundred twenty".