212408805261312 has 2560 divisors, whose sum is σ = 758136461322240. Its totient is φ = 58607460679680.

The previous prime is 212408805261307. The next prime is 212408805261371. The reversal of 212408805261312 is 213162508804212.

212408805261312 is a `hidden beast` number, since 2 + 1 + 2 + 40 + 8 + 80 + 526 + 1 + 3 + 1 + 2 = 666.

It is a super-2 number, since 2×212408805261312² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2062221410253 + ... + 2062221410355.

It is an arithmetic number, because the mean of its divisors is an integer number (296147055204).

Almost surely, 2^{212408805261312} is an apocalyptic number.

212408805261312 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 212408805261312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379068230661120).

212408805261312 is an abundant number, since it is smaller than the sum of its proper divisors (545727656060928).

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

212408805261312 is a wasteful number, since it uses less digits than its factorization.

212408805261312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 212408805261312 in words is "two hundred twelve trillion, four hundred eight billion, eight hundred five million, two hundred sixty-one thousand, three hundred twelve".