1011332011200 has 1008 divisors, whose sum is σ = 3988433723904. Its totient is φ = 223534080000.

The previous prime is 1011332011199. The next prime is 1011332011223. The reversal of 1011332011200 is 21102331101.

It is a happy number.

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 1011332011200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2184302169 + ... + 2184302631.

It is an arithmetic number, because the mean of its divisors is an integer number (3956779488).

Almost surely, 2^{1011332011200} is an apocalyptic number.

1011332011200 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 1011332011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994216861952).

1011332011200 is an abundant number, since it is smaller than the sum of its proper divisors (2977101712704).

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

1011332011200 is a wasteful number, since it uses less digits than its factorization.

1011332011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 768 counting only the distinct ones).

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

Adding to 1011332011200 its reverse (21102331101), we get a palindrome (1032434342301).

The spelling of 1011332011200 in words is "one trillion, eleven billion, three hundred thirty-two million, eleven thousand, two hundred".