212846376072 has 128 divisors (see below), whose sum is σ = 606021212160. Its totient is φ = 61664824320.

The previous prime is 212846375983. The next prime is 212846376077. The reversal of 212846376072 is 270673648212.

It is a super-3 number, since 3×212846376072³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (212846376077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14668773 + ... + 14683275.

It is an arithmetic number, because the mean of its divisors is an integer number (4734540720).

Almost surely, 2^212846376072 is an apocalyptic number.

212846376072 is a gapful number since it is divisible by the number (22) 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 212846376072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303010606080).

212846376072 is an abundant number, since it is smaller than the sum of its proper divisors (393174836088).

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

212846376072 is a wasteful number, since it uses less digits than its factorization.

212846376072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16963 (or 16959 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 212846376072 in words is "two hundred twelve billion, eight hundred forty-six million, three hundred seventy-six thousand, seventy-two".