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21221344312212 = 22311374345074593
BaseRepresentation
bin1001101001100111110101…
…01100000111101110010100
32210010201222222021000120010
410310303322230013232110
510240142303120442322
6113044541225240220
74320122460260262
oct464637254075624
983121888230503
1021221344312212
116841a15696880
122468a09333070
13bac219927885
14535193405432
1526c03883220c
hex134cfab07b94

21221344312212 has 48 divisors (see below), whose sum is σ = 55477912416192. Its totient is φ = 6256907412480.

The previous prime is 21221344312199. The next prime is 21221344312271.

21221344312212 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21221344312212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2172532413 + ... + 2172542180.

It is an arithmetic number, because the mean of its divisors is an integer number (1155789842004).

Almost surely, 221221344312212 is an apocalyptic number.

21221344312212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21221344312212 is an abundant number, since it is smaller than the sum of its proper divisors (34256568103980).

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

21221344312212 is a wasteful number, since it uses less digits than its factorization.

21221344312212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4345074648 (or 4345074646 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 2122134 and 4312212, that added together give a palindrome (6434346).

The spelling of 21221344312212 in words is "twenty-one trillion, two hundred twenty-one billion, three hundred forty-four million, three hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 4884 4345074593 8690149186 13035223779 17380298372 26070447558 47795820523 52140895116 95591641046 143387461569 160767759941 191183282092 286774923138 321535519882 482303279823 573549846276 643071039764 964606559646 1768445359351 1929213119292 3536890718702 5305336078053 7073781437404 10610672156106 21221344312212