212477836032 has 1296 divisors, whose sum is σ = 834898192128. Its totient is φ = 51263815680.

The previous prime is 212477836031. The next prime is 212477836049. The reversal of 212477836032 is 230638774212.

212477836032 is a `hidden beast` number, since 2 + 12 + 477 + 83 + 60 + 32 = 666.

It is not an unprimeable number, because it can be changed into a prime (212477836031) 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 143 ways as a sum of consecutive naturals, for example, 1228195498 + ... + 1228195670.

It is an arithmetic number, because the mean of its divisors is an integer number (644211568).

Almost surely, 2^212477836032 is an apocalyptic number.

212477836032 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 212477836032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417449096064).

212477836032 is an abundant number, since it is smaller than the sum of its proper divisors (622420356096).

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

212477836032 is a wasteful number, since it uses less digits than its factorization.

212477836032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 212477836032 in words is "two hundred twelve billion, four hundred seventy-seven million, eight hundred thirty-six thousand, thirty-two".