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12220222033332 = 22321753431874127
BaseRepresentation
bin1011000111010011110111…
…1111100100110110110100
31121021020112021200112000100
42301310331333210312310
53100204003320031312
641553520440314100
72400611331265635
oct261647577446664
947236467615010
1012220222033332
113991626836a45
12145443b772930
136a84923b6751
1430366766188c
15162d2186d5dc
hexb1d3dfe4db4

12220222033332 has 144 divisors (see below), whose sum is σ = 33401535777792. Its totient is φ = 3752727813120.

The previous prime is 12220222033241. The next prime is 12220222033351. The reversal of 12220222033332 is 23333022202221.

12220222033332 is a `hidden beast` number, since 122 + 2 + 0 + 2 + 2 + 203 + 3 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12220222033296 and 12220222033305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13542853 + ... + 14416979.

It is an arithmetic number, because the mean of its divisors is an integer number (231955109568).

Almost surely, 212220222033332 is an apocalyptic number.

12220222033332 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 12220222033332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16700767888896).

12220222033332 is an abundant number, since it is smaller than the sum of its proper divisors (21181313744460).

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

12220222033332 is a wasteful number, since it uses less digits than its factorization.

12220222033332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874638 (or 874633 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 12220222033332 its reverse (23333022202221), we get a palindrome (35553244235553).

The spelling of 12220222033332 in words is "twelve trillion, two hundred twenty billion, two hundred twenty-two million, thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 53 68 102 106 153 159 204 212 306 318 431 477 612 636 862 901 954 1293 1724 1802 1908 2586 2703 3604 3879 5172 5406 7327 7758 8109 10812 14654 15516 16218 21981 22843 29308 32436 43962 45686 65943 68529 87924 91372 131886 137058 205587 263772 274116 388331 411174 776662 822348 874127 1164993 1553324 1748254 2329986 2622381 3494979 3496508 4659972 5244762 6989958 7867143 10489524 13979916 14860159 15734286 29720318 31468572 44580477 46328731 59440636 89160954 92657462 133741431 138986193 178321908 185314924 267482862 277972386 376748737 416958579 534965724 555944772 753497474 787588427 833917158 1130246211 1506994948 1575176854 1667834316 2260492422 2362765281 3150353708 3390738633 4520984844 4725530562 6404728529 6781477266 7088295843 9451061124 12809457058 13562954532 14176591686 19214185587 19967683061 25618914116 28353183372 38428371174 39935366122 57642556761 59903049183 76856742348 79870732244 115285113522 119806098366 179709147549 230570227044 239612196732 339450612037 359418295098 678901224074 718836590196 1018351836111 1357802448148 2036703672222 3055055508333 4073407344444 6110111016666 12220222033332