11131012201200 has 240 divisors, whose sum is σ = 38774149233120. Its totient is φ = 2718161141760.

The previous prime is 11131012201187. The next prime is 11131012201219. The reversal of 11131012201200 is 210221013111.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11131012201200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6618685 + ... + 8128284.

It is an arithmetic number, because the mean of its divisors is an integer number (161558955138).

Almost surely, 2^{11131012201200} is an apocalyptic number.

11131012201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131012201200 is an abundant number, since it is smaller than the sum of its proper divisors (27643137031920).

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

11131012201200 is a wasteful number, since it uses less digits than its factorization.

11131012201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14747044 (or 14747033 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11131012201200 its reverse (210221013111), we get a palindrome (11341233214311).

The spelling of 11131012201200 in words is "eleven trillion, one hundred thirty-one billion, twelve million, two hundred one thousand, two hundred".