11130132114192 has 320 divisors, whose sum is σ = 37481761013760. Its totient is φ = 2761863340032.

The previous prime is 11130132114169. The next prime is 11130132114229. The reversal of 11130132114192 is 29141123103111.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 249403593 + ... + 249448215.

It is an arithmetic number, because the mean of its divisors is an integer number (117130503168).

Almost surely, 2^{11130132114192} is an apocalyptic number.

11130132114192 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 11130132114192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18740880506880).

11130132114192 is an abundant number, since it is smaller than the sum of its proper divisors (26351628899568).

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

11130132114192 is a wasteful number, since it uses less digits than its factorization.

11130132114192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48030 (or 48024 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The spelling of 11130132114192 in words is "eleven trillion, one hundred thirty billion, one hundred thirty-two million, one hundred fourteen thousand, one hundred ninety-two".