212396128 has 96 divisors (see below), whose sum is σ = 501258240. Its totient is φ = 86676480.

The previous prime is 212396101. The next prime is 212396137. The reversal of 212396128 is 821693212.

It is a super-2 number, since 2×212396128² = 90224230378784768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212396093 and 212396102.

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, 506703 + ... + 507121.

It is an arithmetic number, because the mean of its divisors is an integer number (5221440).

Almost surely, 2^212396128 is an apocalyptic number.

212396128 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 212396128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250629120).

212396128 is an abundant number, since it is smaller than the sum of its proper divisors (288862112).

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

212396128 is a wasteful number, since it uses less digits than its factorization.

212396128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 532 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The square root of 212396128 is about 14573.8165214195. The cubic root of 212396128 is about 596.6443491474.

The spelling of 212396128 in words is "two hundred twelve million, three hundred ninety-six thousand, one hundred twenty-eight".