11212111000 has 128 divisors (see below), whose sum is σ = 27358456320. Its totient is φ = 4296000000.

The previous prime is 11212110989. The next prime is 11212111003. The reversal of 11212111000 is 11121211.

It is a super-2 number, since 2×11212111000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212111003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3129210 + ... + 3132790.

It is an arithmetic number, because the mean of its divisors is an integer number (213737940).

Almost surely, 2^11212111000 is an apocalyptic number.

11212111000 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 11212111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13679228160).

11212111000 is an abundant number, since it is smaller than the sum of its proper divisors (16146345320).

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

11212111000 is a wasteful number, since it uses less digits than its factorization.

11212111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3734 (or 3720 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11212111000 its reverse (11121211), we get a palindrome (11223232211).

It can be divided in two parts, 1121211 and 1000, that added together give a palindrome (1122211).

The spelling of 11212111000 in words is "eleven billion, two hundred twelve million, one hundred eleven thousand".