212125056 has 128 divisors (see below), whose sum is σ = 662135040. Its totient is φ = 59320320.

The previous prime is 212125049. The next prime is 212125117. The reversal of 212125056 is 650521212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52981 + ... + 56843.

It is an arithmetic number, because the mean of its divisors is an integer number (5172930).

Almost surely, 2^212125056 is an apocalyptic number.

212125056 is a gapful number since it is divisible by the number (26) 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 212125056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331067520).

212125056 is an abundant number, since it is smaller than the sum of its proper divisors (450009984).

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

212125056 is a wasteful number, since it uses less digits than its factorization.

212125056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3904 (or 3892 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 212125056 is about 14564.5135861106. The cubic root of 212125056 is about 596.3904172892.

Adding to 212125056 its reverse (650521212), we get a palindrome (862646268).

The spelling of 212125056 in words is "two hundred twelve million, one hundred twenty-five thousand, fifty-six".