212012220120 has 128 divisors (see below), whose sum is σ = 641391575040. Its totient is φ = 56061089280.

The previous prime is 212012220113. The next prime is 212012220149. The reversal of 212012220120 is 21022210212.

It is a super-2 number, since 2×212012220120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212012220120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49847914 + ... + 49852166.

It is an arithmetic number, because the mean of its divisors is an integer number (5010871680).

Almost surely, 2^212012220120 is an apocalyptic number.

212012220120 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 212012220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320695787520).

212012220120 is an abundant number, since it is smaller than the sum of its proper divisors (429379354920).

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

212012220120 is a wasteful number, since it uses less digits than its factorization.

212012220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7665 (or 7661 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 212012220120 its reverse (21022210212), we get a palindrome (233034430332).

The spelling of 212012220120 in words is "two hundred twelve billion, twelve million, two hundred twenty thousand, one hundred twenty".