11201201120988 has 72 divisors (see below), whose sum is σ = 28596077480880. Its totient is φ = 3696699928320.

The previous prime is 11201201120987. The next prime is 11201201121001. The reversal of 11201201120988 is 88902110210211.

It is a happy number.

It is a super-2 number, since 2×11201201120988² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201201120987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1126983 + ... + 4865438.

It is an arithmetic number, because the mean of its divisors is an integer number (397167742790).

Almost surely, 2^{11201201120988} is an apocalyptic number.

11201201120988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11201201120988 is an abundant number, since it is smaller than the sum of its proper divisors (17394876359892).

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

11201201120988 is a wasteful number, since it uses less digits than its factorization.

11201201120988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5992947 (or 5992942 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 36.

The spelling of 11201201120988 in words is "eleven trillion, two hundred one billion, two hundred one million, one hundred twenty thousand, nine hundred eighty-eight".