11331021001200 has 120 divisors (see below), whose sum is σ = 36304682601600. Its totient is φ = 3020969153280.

The previous prime is 11331021001189. The next prime is 11331021001211. The reversal of 11331021001200 is 210012013311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11331021001189) and next prime (11331021001211).

It is a tau number, because it is divible by the number of its divisors (120).

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 11331021001200.

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 23 ways as a sum of consecutive naturals, for example, 4718731 + ... + 6702869.

It is an arithmetic number, because the mean of its divisors is an integer number (302539021680).

Almost surely, 2^{11331021001200} is an apocalyptic number.

11331021001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11331021001200 is an abundant number, since it is smaller than the sum of its proper divisors (24973661600400).

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

11331021001200 is a wasteful number, since it uses less digits than its factorization.

11331021001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988919 (or 1988908 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11331021001200 its reverse (210012013311), we get a palindrome (11541033014511).

The spelling of 11331021001200 in words is "eleven trillion, three hundred thirty-one billion, twenty-one million, one thousand, two hundred".