11011121012000 has 192 divisors, whose sum is σ = 28890055434240. Its totient is φ = 4115389824000.

The previous prime is 11011121011981. The next prime is 11011121012009. The reversal of 11011121012000 is 21012111011.

It is not an unprimeable number, because it can be changed into a prime (11011121012009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2064977 + ... + 5127023.

It is an arithmetic number, because the mean of its divisors is an integer number (150469038720).

Almost surely, 2^{11011121012000} is an apocalyptic number.

11011121012000 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 11011121012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14445027717120).

11011121012000 is an abundant number, since it is smaller than the sum of its proper divisors (17878934422240).

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

11011121012000 is a wasteful number, since it uses less digits than its factorization.

11011121012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3062132 (or 3062114 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11011121012000 its reverse (21012111011), we get a palindrome (11032133123011).

It can be divided in two parts, 1101112 and 1012000, that added together give a palindrome (2113112).

The spelling of 11011121012000 in words is "eleven trillion, eleven billion, one hundred twenty-one million, twelve thousand".