111213000 has 160 divisors (see below), whose sum is σ = 389034360. Its totient is φ = 29635200.

The previous prime is 111212987. The next prime is 111213013. The reversal of 111213000 is 312111.

It is an interprime number because it is at equal distance from previous prime (111212987) and next prime (111213013).

It can be written as a sum of positive squares in 4 ways, for example, as 69455556 + 41757444 = 8334^2 + 6462^2 .

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 80314 + ... + 81686.

Almost surely, 2^111213000 is an apocalyptic number.

111213000 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 111213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194517180).

111213000 is an abundant number, since it is smaller than the sum of its proper divisors (277821360).

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

111213000 is a wasteful number, since it uses less digits than its factorization.

111213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1383 counting only the distinct ones).

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

The square root of 111213000 is about 10545.7574407911. The cubic root of 111213000 is about 480.8967610808.

Adding to 111213000 its reverse (312111), we get a palindrome (111525111).

The spelling of 111213000 in words is "one hundred eleven million, two hundred thirteen thousand".