11011201202000 has 40 divisors (see below), whose sum is σ = 26625084511272. Its totient is φ = 4404480480000.

The previous prime is 11011201201993. The next prime is 11011201202101. The reversal of 11011201202000 is 20210211011.

It can be written as a sum of positive squares in 4 ways, for example, as 1019760668224 + 9991440533776 = 1009832^2 + 3160924^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2752798301 + ... + 2752802300.

Almost surely, 2^{11011201202000} is an apocalyptic number.

11011201202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011201202000 is an abundant number, since it is smaller than the sum of its proper divisors (15613883309272).

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

11011201202000 is an equidigital number, since it uses as much as digits as its factorization.

11011201202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505600624 (or 5505600608 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11011201202000 its reverse (20210211011), we get a palindrome (11031411413011).

The spelling of 11011201202000 in words is "eleven trillion, eleven billion, two hundred one million, two hundred two thousand".