212218454160 has 240 divisors, whose sum is σ = 755068105584. Its totient is φ = 53231321088.

The previous prime is 212218454159. The next prime is 212218454209. The reversal of 212218454160 is 61454812212.

212218454160 is a `hidden beast` number, since 2 + 12 + 21 + 84 + 541 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 235561104 + 211982893056 = 15348^2 + 460416^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 26348694 + ... + 26356746.

Almost surely, 2^212218454160 is an apocalyptic number.

212218454160 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 212218454160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377534052792).

212218454160 is an abundant number, since it is smaller than the sum of its proper divisors (542849651424).

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

212218454160 is a wasteful number, since it uses less digits than its factorization.

212218454160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10242 (or 10233 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 212218454160 in words is "two hundred twelve billion, two hundred eighteen million, four hundred fifty-four thousand, one hundred sixty".