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12021122133132 = 22379712967113777
BaseRepresentation
bin1010111011101110001010…
…1101101110110010001100
31120120012121200002122022120
42232323202231232302030
53033423224231230012
641322232142412540
72350332420124410
oct256734255566214
946505550078276
1012021122133132
113915147066082
121421935591150
136927826c7508
142d7b7ad24d40
1515ca6c44558c
hexaeee2b6ec8c

12021122133132 has 96 divisors (see below), whose sum is σ = 32389585579008. Its totient is φ = 3398905995264.

The previous prime is 12021122133073. The next prime is 12021122133149. The reversal of 12021122133132 is 23133122112021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105598228 + ... + 105712004.

It is an arithmetic number, because the mean of its divisors is an integer number (337391516448).

Almost surely, 212021122133132 is an apocalyptic number.

12021122133132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12021122133132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16194792789504).

12021122133132 is an abundant number, since it is smaller than the sum of its proper divisors (20368463445876).

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

12021122133132 is a wasteful number, since it uses less digits than its factorization.

12021122133132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126855 (or 126853 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 12021122133132 its reverse (23133122112021), we get a palindrome (35154244245153).

The spelling of 12021122133132 in words is "twelve trillion, twenty-one billion, one hundred twenty-two million, one hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 97 194 291 388 582 679 1164 1358 2037 2716 4074 8148 12967 25934 38901 51868 77802 90769 113777 155604 181538 227554 272307 341331 363076 455108 544614 682662 796439 1089228 1257799 1365324 1592878 2389317 2515598 3185756 3773397 4778634 5031196 7546794 8804593 9557268 11036369 15093588 17609186 22072738 26413779 33109107 35218372 44145476 52827558 66218214 77254583 105655116 132436428 154509166 231763749 309018332 463527498 927054996 1475346359 2950692718 4426039077 5901385436 8852078154 10327424513 17704156308 20654849026 30982273539 41309698052 61964547078 123929094156 143108596823 286217193646 429325790469 572434387292 858651580938 1001760177761 1717303161876 2003520355522 3005280533283 4007040711044 6010561066566 12021122133132