11022000211200 has 1728 divisors, whose sum is σ = 44655074392320. Its totient is φ = 2361655296000.

The previous prime is 11022000211153. The next prime is 11022000211259. The reversal of 11022000211200 is 211200022011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3852497770 + ... + 3852500630.

It is an arithmetic number, because the mean of its divisors is an integer number (25842056940).

Almost surely, 2^{11022000211200} is an apocalyptic number.

11022000211200 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 11022000211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22327537196160).

11022000211200 is an abundant number, since it is smaller than the sum of its proper divisors (33633074181120).

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

11022000211200 is a wasteful number, since it uses less digits than its factorization.

11022000211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2984 (or 2965 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11022000211200 its reverse (211200022011), we get a palindrome (11233200233211).

The spelling of 11022000211200 in words is "eleven trillion, twenty-two billion, two hundred eleven thousand, two hundred".