210212414721144 has 256 divisors, whose sum is σ = 641728609344000. Its totient is φ = 63229797227520.

The previous prime is 210212414721137. The next prime is 210212414721193. The reversal of 210212414721144 is 441127414212012.

210212414721144 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 1 + 2 + 41 + 472 + 1 + 144 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 210212414721099 and 210212414721108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 253202187 + ... + 254031045.

It is an arithmetic number, because the mean of its divisors is an integer number (2506752380250).

Almost surely, 2^{210212414721144} is an apocalyptic number.

210212414721144 is a gapful number since it is divisible by the number (24) 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 210212414721144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320864304672000).

210212414721144 is an abundant number, since it is smaller than the sum of its proper divisors (431516194622856).

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

210212414721144 is a wasteful number, since it uses less digits than its factorization.

210212414721144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829675 (or 829665 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

Adding to 210212414721144 its reverse (441127414212012), we get a palindrome (651339828933156).

The spelling of 210212414721144 in words is "two hundred ten trillion, two hundred twelve billion, four hundred fourteen million, seven hundred twenty-one thousand, one hundred forty-four".