11211110001000 has 2304 divisors, whose sum is σ = 48738972672000. Its totient is φ = 2274075648000.

The previous prime is 11211110000947. The next prime is 11211110001067. The reversal of 11211110001000 is 10001111211.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 575 ways as a sum of consecutive naturals, for example, 58696910905 + ... + 58696911095.

It is an arithmetic number, because the mean of its divisors is an integer number (21154068000).

Almost surely, 2^{11211110001000} is an apocalyptic number.

11211110001000 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 11211110001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24369486336000).

11211110001000 is an abundant number, since it is smaller than the sum of its proper divisors (37527862671000).

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

11211110001000 is a wasteful number, since it uses less digits than its factorization.

11211110001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11211110001000 its reverse (10001111211), we get a palindrome (11221111112211).

The spelling of 11211110001000 in words is "eleven trillion, two hundred eleven billion, one hundred ten million, one thousand".