11123011123000 has 384 divisors, whose sum is σ = 30714868042560. Its totient is φ = 3758832000000.

The previous prime is 11123011122889. The next prime is 11123011123001. The reversal of 11123011123000 is 32111032111.

It is a happy number.

It is a super-2 number, since 2×11123011123000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11123011123001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1123418050 + ... + 1123427950.

Almost surely, 2^{11123011123000} is an apocalyptic number.

11123011123000 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 11123011123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15357434021280).

11123011123000 is an abundant number, since it is smaller than the sum of its proper divisors (19591856919560).

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

11123011123000 is a wasteful number, since it uses less digits than its factorization.

11123011123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10264 (or 10243 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 11123011123000 its reverse (32111032111), we get a palindrome (11155122155111).

It can be divided in two parts, 111230 and 11123000, that multiplied together give a square (1237211290000 = 1112300²).

The spelling of 11123011123000 in words is "eleven trillion, one hundred twenty-three billion, eleven million, one hundred twenty-three thousand".