212027505144 has 512 divisors, whose sum is σ = 709880371200. Its totient is φ = 51209625600.

The previous prime is 212027505133. The next prime is 212027505161. The reversal of 212027505144 is 441505720212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 302463994 + ... + 302464694.

It is an arithmetic number, because the mean of its divisors is an integer number (1386485100).

Almost surely, 2^212027505144 is an apocalyptic number.

212027505144 is a gapful number since it is divisible by the number (24) 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 212027505144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354940185600).

212027505144 is an abundant number, since it is smaller than the sum of its proper divisors (497852866056).

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

212027505144 is a wasteful number, since it uses less digits than its factorization.

212027505144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The spelling of 212027505144 in words is "two hundred twelve billion, twenty-seven million, five hundred five thousand, one hundred forty-four".