212315020555040 has 384 divisors, whose sum is σ = 548533611601920. Its totient is φ = 77186591539200.

The previous prime is 212315020555039. The next prime is 212315020555081. The reversal of 212315020555040 is 40555020513212.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166260782882 + ... + 166260784158.

It is an arithmetic number, because the mean of its divisors is an integer number (1428472946880).

Almost surely, 2^{212315020555040} is an apocalyptic number.

212315020555040 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 212315020555040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274266805800960).

212315020555040 is an abundant number, since it is smaller than the sum of its proper divisors (336218591046880).

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

212315020555040 is a wasteful number, since it uses less digits than its factorization.

212315020555040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3396 (or 3388 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 35.

The spelling of 212315020555040 in words is "two hundred twelve trillion, three hundred fifteen billion, twenty million, five hundred fifty-five thousand, forty".