211211309741712 has 480 divisors, whose sum is σ = 670038172848000. Its totient is φ = 57005796556800.

The previous prime is 211211309741699. The next prime is 211211309741737. The reversal of 211211309741712 is 217147903112112.

It is a super-2 number, since 2×211211309741712² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47774553262 + ... + 47774557682.

It is an arithmetic number, because the mean of its divisors is an integer number (1395912860100).

Almost surely, 2^{211211309741712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211211309741712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335019086424000).

211211309741712 is an abundant number, since it is smaller than the sum of its proper divisors (458826863106288).

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

211211309741712 is a wasteful number, since it uses less digits than its factorization.

211211309741712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7295 (or 7282 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 42.

The spelling of 211211309741712 in words is "two hundred eleven trillion, two hundred eleven billion, three hundred nine million, seven hundred forty-one thousand, seven hundred twelve".