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21221220012200 = 23521378531039349
BaseRepresentation
bin1001101001100111100110…
…10001111101000010101000
32210010201200022100220222222
410310303303101331002220
510240142024310342300
6113044521025133212
74320116420606465
oct464636321750250
983121608326888
1021221220012200
11684196150839a
12246899378a208
13bac1c9c56680
14535180aca66c
1526c02c97c785
hex134cf347d0a8

21221220012200 has 96 divisors (see below), whose sum is σ = 53141487399000. Its totient is φ = 7834522076160.

The previous prime is 21221220012133. The next prime is 21221220012233. The reversal of 21221220012200 is 221002212212.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 114123703684 + 21107096308516 = 337822^2 + 4594246^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19898126 + ... + 20937474.

Almost surely, 221221220012200 is an apocalyptic number.

21221220012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21221220012200 is an abundant number, since it is smaller than the sum of its proper divisors (31920267386800).

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

21221220012200 is a wasteful number, since it uses less digits than its factorization.

21221220012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047231 (or 1047222 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 21221220012200 its reverse (221002212212), we get a palindrome (21442222224412).

The spelling of 21221220012200 in words is "twenty-one trillion, two hundred twenty-one billion, two hundred twenty million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 7853 15706 31412 39265 62824 78530 102089 157060 196325 204178 314120 392650 408356 510445 785300 816712 1020890 1039349 1570600 2041780 2078698 2552225 4083560 4157396 5104450 5196745 8314792 10208900 10393490 13511537 20417800 20786980 25983725 27023074 41573960 51967450 54046148 67557685 103934900 108092296 135115370 207869800 270230740 337788425 540461480 675576850 1351153700 2702307400 8162007697 16324015394 32648030788 40810038485 65296061576 81620076970 106106100061 163240153940 204050192425 212212200122 326480307880 408100384850 424424400244 530530500305 816200769700 848848800488 1061061000610 1632401539400 2122122001220 2652652501525 4244244002440 5305305003050 10610610006100 21221220012200