212126020 has 24 divisors (see below), whose sum is σ = 452116224. Its totient is φ = 83583456.

The previous prime is 212126011. The next prime is 212126021. The reversal of 212126020 is 20621212.

It is a super-3 number, since 3×212126020³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 212125985 and 212126003.

It is not an unprimeable number, because it can be changed into a prime (212126021) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 77812 + ... + 80491.

It is an arithmetic number, because the mean of its divisors is an integer number (18838176).

Almost surely, 2^212126020 is an apocalyptic number.

212126020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212126020 is an abundant number, since it is smaller than the sum of its proper divisors (239990204).

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

212126020 is a wasteful number, since it uses less digits than its factorization.

212126020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158379 (or 158377 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 212126020 is about 14564.5466802094. The cubic root of 212126020 is about 596.3913207178.

Adding to 212126020 its reverse (20621212), we get a palindrome (232747232).

The spelling of 212126020 in words is "two hundred twelve million, one hundred twenty-six thousand, twenty".