211220011017008 has 160 divisors (see below), whose sum is σ = 478777756262400. Its totient is φ = 88395395033088.

The previous prime is 211220011017007. The next prime is 211220011017019. The reversal of 211220011017008 is 800710110022112.

It is a happy number.

It is a super-2 number, since 2×211220011017008² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211220011017007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6299604788 + ... + 6299638316.

It is an arithmetic number, because the mean of its divisors is an integer number (2992360976640).

Almost surely, 2^{211220011017008} is an apocalyptic number.

211220011017008 is a gapful number since it is divisible by the number (28) 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 211220011017008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239388878131200).

211220011017008 is an abundant number, since it is smaller than the sum of its proper divisors (267557745245392).

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

211220011017008 is a wasteful number, since it uses less digits than its factorization.

211220011017008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38579 (or 38573 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 26.

The spelling of 211220011017008 in words is "two hundred eleven trillion, two hundred twenty billion, eleven million, seventeen thousand, eight".