212865045120 has 1536 divisors, whose sum is σ = 954338112000. Its totient is φ = 44407554048.

The previous prime is 212865045089. The next prime is 212865045181. The reversal of 212865045120 is 21540568212.

212865045120 is a `hidden beast` number, since 2 + 1 + 2 + 86 + 504 + 51 + 20 = 666.

212865045120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 191 ways as a sum of consecutive naturals, for example, 2391742036 + ... + 2391742124.

It is an arithmetic number, because the mean of its divisors is an integer number (621313875).

Almost surely, 2^212865045120 is an apocalyptic number.

212865045120 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 212865045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477169056000).

212865045120 is an abundant number, since it is smaller than the sum of its proper divisors (741473066880).

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

212865045120 is an frugal number, since it uses more digits than its factorization.

212865045120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 212865045120 in words is "two hundred twelve billion, eight hundred sixty-five million, forty-five thousand, one hundred twenty".