212136756000 has 384 divisors, whose sum is σ = 764368690176. Its totient is φ = 51105484800.

The previous prime is 212136755993. The next prime is 212136756017. The reversal of 212136756000 is 657631212.

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 63 ways as a sum of consecutive naturals, for example, 7317534 + ... + 7346466.

It is an arithmetic number, because the mean of its divisors is an integer number (1990543464).

Almost surely, 2^212136756000 is an apocalyptic number.

212136756000 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 212136756000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382184345088).

212136756000 is an abundant number, since it is smaller than the sum of its proper divisors (552231934176).

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

212136756000 is a wasteful number, since it uses less digits than its factorization.

212136756000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29021 (or 29003 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

It can be divided in two parts, 212136 and 756000, that added together give a triangular number (968136 = T₁₃₉₁).

The spelling of 212136756000 in words is "two hundred twelve billion, one hundred thirty-six million, seven hundred fifty-six thousand".