11200123122000 has 160 divisors (see below), whose sum is σ = 36114838990464. Its totient is φ = 2986232832000.

The previous prime is 11200123121989. The next prime is 11200123122037. The reversal of 11200123122000 is 22132100211.

11200123122000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39139440 + ... + 39424560.

Almost surely, 2^{11200123122000} is an apocalyptic number.

11200123122000 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 11200123122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18057419495232).

11200123122000 is an abundant number, since it is smaller than the sum of its proper divisors (24914715868464).

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

11200123122000 is a wasteful number, since it uses less digits than its factorization.

11200123122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291694 (or 291678 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11200123122000 its reverse (22132100211), we get a palindrome (11222255222211).

The spelling of 11200123122000 in words is "eleven trillion, two hundred billion, one hundred twenty-three million, one hundred twenty-two thousand".