212404441020120 has 384 divisors, whose sum is σ = 709557018992640. Its totient is φ = 55078191882240.

The previous prime is 212404441020119. The next prime is 212404441020139. The reversal of 212404441020120 is 21020144404212.

212404441020120 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 0 + 44 + 410 + 201 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6422663185 + ... + 6422696255.

It is an arithmetic number, because the mean of its divisors is an integer number (1847804736960).

Almost surely, 2^{212404441020120} is an apocalyptic number.

212404441020120 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 212404441020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354778509496320).

212404441020120 is an abundant number, since it is smaller than the sum of its proper divisors (497152577972520).

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

212404441020120 is a wasteful number, since it uses less digits than its factorization.

212404441020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35575 (or 35568 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 212404441020120 its reverse (21020144404212), we get a palindrome (233424585424332).

The spelling of 212404441020120 in words is "two hundred twelve trillion, four hundred four billion, four hundred forty-one million, twenty thousand, one hundred twenty".