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12220606006532 = 22711472114000937
BaseRepresentation
bin1011000111010101010011…
…1000010100010100000100
31121021021112001012101012222
42301311110320110110010
53100210300114202112
641554022514231512
72400624003100220
oct261652470242404
947237461171188
1012220606006532
113991803555770
121454528285598
136a8523b06221
143036a2653780
15162d45418372
hexb1d54e14504

12220606006532 has 96 divisors (see below), whose sum is σ = 27359502299136. Its totient is φ = 4637885011200.

The previous prime is 12220606006519. The next prime is 12220606006537. The reversal of 12220606006532 is 23560060602221.

It is a super-2 number, since 2×122206060065322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12220606006492 and 12220606006501.

It is not an unprimeable number, because it can be changed into a prime (12220606006537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1053968 + ... + 5054904.

It is an arithmetic number, because the mean of its divisors is an integer number (284994815616).

Almost surely, 212220606006532 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 12220606006532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13679751149568).

12220606006532 is an abundant number, since it is smaller than the sum of its proper divisors (15138896292604).

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

12220606006532 is a wasteful number, since it uses less digits than its factorization.

12220606006532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4001217 (or 4001215 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

Adding to 12220606006532 its reverse (23560060602221), we get a palindrome (35780666608753).

The spelling of 12220606006532 in words is "twelve trillion, two hundred twenty billion, six hundred six million, six thousand, five hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 47 77 94 154 188 211 308 329 422 517 658 844 1034 1316 1477 2068 2321 2954 3619 4642 5908 7238 9284 9917 14476 16247 19834 32494 39668 64988 69419 109087 138838 218174 277676 436348 763609 1527218 3054436 4000937 8001874 16003748 28006559 44010307 56013118 88020614 112026236 176041228 188044039 308072149 376088078 616144298 752176156 844197707 1232288596 1316308273 1688395414 2068484429 2632616546 3376790828 4136968858 5265233092 5909383949 8273937716 9286174777 11818767898 14479391003 18572349554 23637535796 28958782006 37144699108 39677292229 57917564012 65003223439 79354584458 130006446878 158709168916 260012893756 277741045603 436450214519 555482091206 872900429038 1110964182412 1745800858076 3055151501633 6110303003266 12220606006532