212001020 has 192 divisors, whose sum is σ = 592220160. Its totient is φ = 61824000.

The previous prime is 212001019. The next prime is 212001059. The reversal of 212001020 is 20100212.

212001020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212000989 and 212001007.

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, 2098970 + ... + 2099070.

It is an arithmetic number, because the mean of its divisors is an integer number (3084480).

Almost surely, 2^212001020 is an apocalyptic number.

212001020 is a gapful number since it is divisible by the number (20) 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 212001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296110080).

212001020 is an abundant number, since it is smaller than the sum of its proper divisors (380219140).

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

212001020 is a wasteful number, since it uses less digits than its factorization.

212001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 212001020 is about 14560.2548054627. The cubic root of 212001020 is about 596.2741520600.

Adding to 212001020 its reverse (20100212), we get a palindrome (232101232).

The spelling of 212001020 in words is "two hundred twelve million, one thousand, twenty".