212127552 has 448 divisors, whose sum is σ = 819302400. Its totient is φ = 52254720.

The previous prime is 212127541. The next prime is 212127569. The reversal of 212127552 is 255721212.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2987677 + ... + 2987747.

It is an arithmetic number, because the mean of its divisors is an integer number (1828800).

Almost surely, 2^212127552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212127552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409651200).

212127552 is an abundant number, since it is smaller than the sum of its proper divisors (607174848).

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

212127552 is a wasteful number, since it uses less digits than its factorization.

212127552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 115 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 212127552 is about 14564.5992735811. The cubic root of 212127552 is about 596.3927564513.

Adding to 212127552 its reverse (255721212), we get a palindrome (467848764).

The spelling of 212127552 in words is "two hundred twelve million, one hundred twenty-seven thousand, five hundred fifty-two".