215112000 has 112 divisors (see below), whose sum is σ = 710379072. Its totient is φ = 57356800.

The previous prime is 215111993. The next prime is 215112019. The reversal of 215112000 is 211512.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19519 + ... + 28481.

Almost surely, 2^215112000 is an apocalyptic number.

215112000 is a gapful number since it is divisible by the number (20) 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 215112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355189536).

215112000 is an abundant number, since it is smaller than the sum of its proper divisors (495267072).

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

215112000 is an equidigital number, since it uses as much as digits as its factorization.

215112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8993 (or 8973 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 215112000 is about 14666.6969696657. The cubic root of 215112000 is about 599.1766484483.

Adding to 215112000 its reverse (211512), we get a palindrome (215323512).

The spelling of 215112000 in words is "two hundred fifteen million, one hundred twelve thousand".