11200000212126 has 96 divisors (see below), whose sum is σ = 27766846179072. Its totient is φ = 3229556014080.

The previous prime is 11200000212067. The next prime is 11200000212127. The reversal of 11200000212126 is 62121200000211.

11200000212126 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 11200000212099 and 11200000212108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200000212127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5492520 + ... + 7250363.

It is an arithmetic number, because the mean of its divisors is an integer number (289237981032).

Almost surely, 2^{11200000212126} is an apocalyptic number.

11200000212126 is an abundant number, since it is smaller than the sum of its proper divisors (16566845966946).

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

11200000212126 is a wasteful number, since it uses less digits than its factorization.

11200000212126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12743118 (or 12743115 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11200000212126 its reverse (62121200000211), we get a palindrome (73321200212337).

The spelling of 11200000212126 in words is "eleven trillion, two hundred billion, two hundred twelve thousand, one hundred twenty-six".