11020121200 has 120 divisors (see below), whose sum is σ = 29011513680. Its totient is φ = 3989452800.

The previous prime is 11020121137. The next prime is 11020121213. The reversal of 11020121200 is 212102011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1002132 + ... + 1013068.

It is an arithmetic number, because the mean of its divisors is an integer number (241762614).

Almost surely, 2^11020121200 is an apocalyptic number.

11020121200 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 11020121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14505756840).

11020121200 is an abundant number, since it is smaller than the sum of its proper divisors (17991392480).

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

11020121200 is a wasteful number, since it uses less digits than its factorization.

11020121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11195 (or 11184 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11020121200 its reverse (212102011), we get a palindrome (11232223211).

The spelling of 11020121200 in words is "eleven billion, twenty million, one hundred twenty-one thousand, two hundred".