11100312000 has 336 divisors, whose sum is σ = 40009779264. Its totient is φ = 2937600000.

The previous prime is 11100311983. The next prime is 11100312001. The reversal of 11100312000 is 21300111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100312001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10871490 + ... + 10872510.

It is an arithmetic number, because the mean of its divisors is an integer number (119076724).

Almost surely, 2^11100312000 is an apocalyptic number.

11100312000 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 11100312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20004889632).

11100312000 is an abundant number, since it is smaller than the sum of its proper divisors (28909467264).

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

11100312000 is a wasteful number, since it uses less digits than its factorization.

11100312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 11100312000 its reverse (21300111), we get a palindrome (11121612111).

The spelling of 11100312000 in words is "eleven billion, one hundred million, three hundred twelve thousand".