1123121103000 has 768 divisors, whose sum is σ = 4124066918400. Its totient is φ = 253393920000.

The previous prime is 1123121102963. The next prime is 1123121103011. The reversal of 1123121103000 is 3011213211.

It is a happy number.

It is a super-2 number, since 2×1123121103000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 298621120 + ... + 298624880.

It is an arithmetic number, because the mean of its divisors is an integer number (5369878800).

Almost surely, 2^{1123121103000} is an apocalyptic number.

1123121103000 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 1123121103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062033459200).

1123121103000 is an abundant number, since it is smaller than the sum of its proper divisors (3000945815400).

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

1123121103000 is a wasteful number, since it uses less digits than its factorization.

1123121103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3861 (or 3834 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1123121103000 its reverse (3011213211), we get a palindrome (1126132316211).

The spelling of 1123121103000 in words is "one trillion, one hundred twenty-three billion, one hundred twenty-one million, one hundred three thousand".