212136288 has 144 divisors (see below), whose sum is σ = 697803120. Its totient is φ = 55931904.

The previous prime is 212136283. The next prime is 212136293. The reversal of 212136288 is 882631212.

It is an interprime number because it is at equal distance from previous prime (212136283) and next prime (212136293).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212136283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59418 + ... + 62886.

It is an arithmetic number, because the mean of its divisors is an integer number (4845855).

Almost surely, 2^212136288 is an apocalyptic number.

212136288 is a gapful number since it is divisible by the number (28) 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 212136288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348901560).

212136288 is an abundant number, since it is smaller than the sum of its proper divisors (485666832).

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

212136288 is a wasteful number, since it uses less digits than its factorization.

212136288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3509 (or 3494 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 212136288 is about 14564.8991757581. The cubic root of 212136288 is about 596.4009433739.

The spelling of 212136288 in words is "two hundred twelve million, one hundred thirty-six thousand, two hundred eighty-eight".