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21022111012212 = 22334153612276469
BaseRepresentation
bin1001100011110100101110…
…11101011001010101110100
32202102200202001122201202000
410301322113131121111310
510223411240404342322
6112413231404215300
74266540336205242
oct461722735312564
982380661581660
1021022111012212
116775477691742
12243628653a530
13b964b83cc54b
145296930a1792
15266c778583ac
hex131e97759574

21022111012212 has 384 divisors, whose sum is σ = 58080707596800. Its totient is φ = 6567431270400.

The previous prime is 21022111012211. The next prime is 21022111012267. The reversal of 21022111012212 is 21221011122012.

21022111012212 is a `hidden beast` number, since 210 + 221 + 1 + 10 + 1 + 221 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21022111012211) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3249666114 + ... + 3249672582.

It is an arithmetic number, because the mean of its divisors is an integer number (151251842700).

Almost surely, 221022111012212 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 21022111012212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29040353798400).

21022111012212 is an abundant number, since it is smaller than the sum of its proper divisors (37058596584588).

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

21022111012212 is a wasteful number, since it uses less digits than its factorization.

21022111012212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6864 (or 6856 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21022111012212 its reverse (21221011122012), we get a palindrome (42243122134224).

The spelling of 21022111012212 in words is "twenty-one trillion, twenty-two billion, one hundred eleven million, twelve thousand, two hundred twelve".