212275365120 has 1440 divisors, whose sum is σ = 947349849600. Its totient is φ = 44192563200.

The previous prime is 212275365083. The next prime is 212275365131. The reversal of 212275365120 is 21563572212.

212275365120 is a `hidden beast` number, since 2 + 1 + 2 + 275 + 365 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×212275365120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1405797045 + ... + 1405797195.

It is an arithmetic number, because the mean of its divisors is an integer number (657881840).

Almost surely, 2^212275365120 is an apocalyptic number.

212275365120 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 212275365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473674924800).

212275365120 is an abundant number, since it is smaller than the sum of its proper divisors (735074484480).

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

212275365120 is a wasteful number, since it uses less digits than its factorization.

212275365120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 212275365120 in words is "two hundred twelve billion, two hundred seventy-five million, three hundred sixty-five thousand, one hundred twenty".