11234133212000 has 192 divisors, whose sum is σ = 27740970077184. Its totient is φ = 4471101030400.

The previous prime is 11234133211999. The next prime is 11234133212017. The reversal of 11234133212000 is 21233143211.

11234133212000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11234133212000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1581600449 + ... + 1581607551.

It is an arithmetic number, because the mean of its divisors is an integer number (144484219152).

Almost surely, 2^{11234133212000} is an apocalyptic number.

11234133212000 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 11234133212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13870485038592).

11234133212000 is an abundant number, since it is smaller than the sum of its proper divisors (16506836865184).

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

11234133212000 is a wasteful number, since it uses less digits than its factorization.

11234133212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9058 (or 9040 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 11234133212000 its reverse (21233143211), we get a palindrome (11255366355211).

The spelling of 11234133212000 in words is "eleven trillion, two hundred thirty-four billion, one hundred thirty-three million, two hundred twelve thousand".