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21211222211212 = 22115925433213029
BaseRepresentation
bin1001101001010100111110…
…10111010111101010001100
32210002202212112202000100111
410310222133113113222030
510240011040341224322
6113040145001405404
74316313600653605
oct464523727275214
983082775660314
1021211222211212
1168386a0a65550
122466a63499864
13bab2958590b7
145348b2d7adac
1526bb44da6177
hex134a9f5d7a8c

21211222211212 has 48 divisors (see below), whose sum is σ = 41196699532800. Its totient is φ = 9474319924160.

The previous prime is 21211222211209. The next prime is 21211222211219.

21211222211212 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21211222211219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4995114 + ... + 8208142.

It is an arithmetic number, because the mean of its divisors is an integer number (858264573600).

Almost surely, 221211222211212 is an apocalyptic number.

21211222211212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21211222211212 is a deficient number, since it is larger than the sum of its proper divisors (19985477321588).

21211222211212 is a wasteful number, since it uses less digits than its factorization.

21211222211212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3215646 (or 3215644 counting only the distinct ones).

The product of its digits is 256, while the sum is 22.

Multiplying 21211222211212 by its sum of digits (22), we get a palindrome (466646888646664).

It can be divided in two parts, 2121122 and 2211212, that added together give a palindrome (4332334).

The spelling of 21211222211212 in words is "twenty-one trillion, two hundred eleven billion, two hundred twenty-two million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 4 11 22 44 59 118 236 649 1298 2543 2596 5086 10172 27973 55946 111892 150037 300074 600148 1650407 3213029 3300814 6426058 6601628 12852116 35343319 70686638 141373276 189568711 379137422 758274844 2085255821 4170511642 8170732747 8341023284 16341465494 32682930988 89878060217 179756120434 359512240868 482073232073 964146464146 1928292928292 5302805552803 10605611105606 21211222211212