212121212222040 has 512 divisors, whose sum is σ = 726293728051200. Its totient is φ = 49114579599360.

The previous prime is 212121212222039. The next prime is 212121212222041. The reversal of 212121212222040 is 40222212121212.

It is an interprime number because it is at equal distance from previous prime (212121212222039) and next prime (212121212222041).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 212121212222040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212121212222041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 444526296 + ... + 445003224.

It is an arithmetic number, because the mean of its divisors is an integer number (1418542437600).

Almost surely, 2^{212121212222040} is an apocalyptic number.

212121212222040 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 212121212222040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363146864025600).

212121212222040 is an abundant number, since it is smaller than the sum of its proper divisors (514172515829160).

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

212121212222040 is a wasteful number, since it uses less digits than its factorization.

212121212222040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477175 (or 477171 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 212121212222040 its reverse (40222212121212), we get a palindrome (252343424343252).

The spelling of 212121212222040 in words is "two hundred twelve trillion, one hundred twenty-one billion, two hundred twelve million, two hundred twenty-two thousand, forty".