11331012123000 has 192 divisors, whose sum is σ = 39963987835200. Its totient is φ = 2890229126400.

The previous prime is 11331012122939. The next prime is 11331012123029. The reversal of 11331012123000 is 32121013311.

11331012123000 is a `hidden beast` number, since 1 + 1 + 3 + 310 + 121 + 230 + 0 + 0 = 666.

It is a super-3 number, since 3×11331012123000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27162595 + ... + 27576594.

It is an arithmetic number, because the mean of its divisors is an integer number (208145769975).

Almost surely, 2^{11331012123000} is an apocalyptic number.

11331012123000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11331012123000 is an abundant number, since it is smaller than the sum of its proper divisors (28632975712200).

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

11331012123000 is a wasteful number, since it uses less digits than its factorization.

11331012123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54739239 (or 54739222 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11331012123000 its reverse (32121013311), we get a palindrome (11363133136311).

The spelling of 11331012123000 in words is "eleven trillion, three hundred thirty-one billion, twelve million, one hundred twenty-three thousand".