212012121020 has 192 divisors, whose sum is σ = 530893440000. Its totient is φ = 71068370688.

The previous prime is 212012121019. The next prime is 212012121023. The reversal of 212012121020 is 20121210212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 212012120986 and 212012121004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212012121023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79732451 + ... + 79735109.

It is an arithmetic number, because the mean of its divisors is an integer number (2765070000).

Almost surely, 2^212012121020 is an apocalyptic number.

212012121020 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 212012121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265446720000).

212012121020 is an abundant number, since it is smaller than the sum of its proper divisors (318881318980).

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

212012121020 is a wasteful number, since it uses less digits than its factorization.

212012121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2945 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212012121020 its reverse (20121210212), we get a palindrome (232133331232).

The spelling of 212012121020 in words is "two hundred twelve billion, twelve million, one hundred twenty-one thousand, twenty".