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21121211020212 = 2232107142714832591
BaseRepresentation
bin1001100110101101010100…
…10001111011001110110100
32202210011112111210202001200
410303112222101323032310
510232022220010121322
6112530541141252500
74306646204320332
oct463265221731664
982704474722050
1021121211020212
116803500aa04a6
122451522a04130
13ba294c619134
145303b47a8b52
15269627a688ac
hex1335aa47b3b4

21121211020212 has 144 divisors (see below), whose sum is σ = 53983651018752. Its totient is φ = 6962330007360.

The previous prime is 21121211020211. The next prime is 21121211020267. The reversal of 21121211020212 is 21202011212112.

21121211020212 is a `hidden beast` number, since 211 + 212 + 1 + 10 + 20 + 212 = 666.

It is a super-2 number, since 2×211212110202122 (a number of 27 digits) contains 22 as substring.

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 (21121211020211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8151759037 + ... + 8151761627.

It is an arithmetic number, because the mean of its divisors is an integer number (374886465408).

Almost surely, 221121211020212 is an apocalyptic number.

It is an amenable number.

21121211020212 is an abundant number, since it is smaller than the sum of its proper divisors (32862439998540).

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

21121211020212 is a wasteful number, since it uses less digits than its factorization.

21121211020212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5618 (or 5613 counting only the distinct ones).

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

Adding to 21121211020212 its reverse (21202011212112), we get a palindrome (42323222232324).

The spelling of 21121211020212 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred eleven million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 321 428 642 963 1284 1427 1483 1926 2591 2854 2966 3852 4281 4449 5182 5708 5932 7773 8562 8898 10364 12843 13347 15546 17124 17796 23319 25686 26694 31092 46638 51372 53388 93276 152689 158681 277237 305378 317362 458067 476043 554474 610756 634724 831711 916134 952086 1108948 1374201 1428129 1663422 1832268 1904172 2116241 2495133 2748402 2856258 3326844 3697357 3842453 4232482 4990266 5496804 5712516 6348723 7394714 7684906 8464964 9980532 11092071 11527359 12697446 14789428 15369812 19046169 22184142 23054718 25394892 33276213 34582077 38092338 44368284 46109436 66552426 69164154 76184676 133104852 138328308 226437787 395617199 411142471 452875574 679313361 791234398 822284942 905751148 1186851597 1233427413 1358626722 1582468796 1644569884 2037940083 2373703194 2466854826 2717253444 3560554791 3700282239 4075880166 4747406388 4933709652 5483180431 7121109582 7400564478 8151760332 10966360862 14242219164 14801128956 16449541293 21932721724 32899082586 49348623879 65798165172 98697247758 197394495516 586700306117 1173400612234 1760100918351 2346801224468 3520201836702 5280302755053 7040403673404 10560605510106 21121211020212