11331212123000 has 768 divisors, whose sum is σ = 34949213544960. Its totient is φ = 3397718016000.

The previous prime is 11331212122943. The next prime is 11331212123009. The reversal of 11331212123000 is 32121213311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331212123009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1552855352 + ... + 1552862648.

It is an arithmetic number, because the mean of its divisors is an integer number (45506788470).

Almost surely, 2^{11331212123000} is an apocalyptic number.

11331212123000 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 11331212123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17474606772480).

11331212123000 is an abundant number, since it is smaller than the sum of its proper divisors (23618001421960).

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

11331212123000 is a wasteful number, since it uses less digits than its factorization.

11331212123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7453 (or 7432 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 11331212123000 its reverse (32121213311), we get a palindrome (11363333336311).

The spelling of 11331212123000 in words is "eleven trillion, three hundred thirty-one billion, two hundred twelve million, one hundred twenty-three thousand".