212359056000 has 1024 divisors, whose sum is σ = 881733565440. Its totient is φ = 44015616000.

The previous prime is 212359055981. The next prime is 212359056071. The reversal of 212359056000 is 650953212.

It is a super-2 number, since 2×212359056000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 266447602 + ... + 266448398.

It is an arithmetic number, because the mean of its divisors is an integer number (861067935).

Almost surely, 2^212359056000 is an apocalyptic number.

212359056000 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 212359056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440866782720).

212359056000 is an abundant number, since it is smaller than the sum of its proper divisors (669374509440).

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

212359056000 is a wasteful number, since it uses less digits than its factorization.

212359056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The spelling of 212359056000 in words is "two hundred twelve billion, three hundred fifty-nine million, fifty-six thousand".