212410097280 has 960 divisors, whose sum is σ = 809565344280. Its totient is φ = 53031075840.

The previous prime is 212410097233. The next prime is 212410097293. The reversal of 212410097280 is 82790014212.

212410097280 is a `hidden beast` number, since 212 + 410 + 0 + 9 + 7 + 28 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 54050670144 + 158359427136 = 232488^2 + 397944^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2909727324 + ... + 2909727396.

Almost surely, 2^212410097280 is an apocalyptic number.

212410097280 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 212410097280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404782672140).

212410097280 is an abundant number, since it is smaller than the sum of its proper divisors (597155247000).

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

212410097280 is an equidigital number, since it uses as much as digits as its factorization.

212410097280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 212410097280 in words is "two hundred twelve billion, four hundred ten million, ninety-seven thousand, two hundred eighty".