211220210111328 has 288 divisors, whose sum is σ = 678407556929760. Its totient is φ = 63887796403200.

The previous prime is 211220210111203. The next prime is 211220210111329. The reversal of 211220210111328 is 823111012022112.

211220210111328 is a `hidden beast` number, since 2 + 1 + 1 + 220 + 2 + 1 + 0 + 111 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×211220210111328² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211220210111329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54691026 + ... + 58425582.

It is an arithmetic number, because the mean of its divisors is an integer number (2355581794895).

Almost surely, 2^{211220210111328} 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 211220210111328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339203778464880).

211220210111328 is an abundant number, since it is smaller than the sum of its proper divisors (467187346818432).

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

211220210111328 is a wasteful number, since it uses less digits than its factorization.

211220210111328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3735139 (or 3735114 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The spelling of 211220210111328 in words is "two hundred eleven trillion, two hundred twenty billion, two hundred ten million, one hundred eleven thousand, three hundred twenty-eight".