11001200121000 has 768 divisors, whose sum is σ = 39150978048000. Its totient is φ = 2783260569600.

The previous prime is 11001200120971. The next prime is 11001200121071. The reversal of 11001200121000 is 12100210011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 2495166796 + ... + 2495171204.

It is an arithmetic number, because the mean of its divisors is an integer number (50977836000).

Almost surely, 2^{11001200121000} is an apocalyptic number.

11001200121000 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 11001200121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19575489024000).

11001200121000 is an abundant number, since it is smaller than the sum of its proper divisors (28149777927000).

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

11001200121000 is a wasteful number, since it uses less digits than its factorization.

11001200121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4659 (or 4642 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11001200121000 its reverse (12100210011), we get a palindrome (11013300331011).

The spelling of 11001200121000 in words is "eleven trillion, one billion, two hundred million, one hundred twenty-one thousand".