211220133301220 has 24 divisors (see below), whose sum is σ = 443562992840184. Its totient is φ = 84487917528576.

The previous prime is 211220133301213. The next prime is 211220133301249. The reversal of 211220133301220 is 22103331022112.

It can be written as a sum of positive squares in 4 ways, for example, as 12213361436644 + 199006771864576 = 3494762^2 + 14106976^2 .

It is a super-2 number, since 2×211220133301220² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4773164 + ... + 21100316.

It is an arithmetic number, because the mean of its divisors is an integer number (18481791368341).

Almost surely, 2^{211220133301220} is an apocalyptic number.

211220133301220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211220133301220 is an abundant number, since it is smaller than the sum of its proper divisors (232342859538964).

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

211220133301220 is a wasteful number, since it uses less digits than its factorization.

211220133301220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16973999 (or 16973997 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 211220133301220 its reverse (22103331022112), we get a palindrome (233323464323332).

The spelling of 211220133301220 in words is "two hundred eleven trillion, two hundred twenty billion, one hundred thirty-three million, three hundred one thousand, two hundred twenty".