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12212301102132 = 2232961881652999
BaseRepresentation
bin1011000110110110010111…
…0111100111110000110100
31121020111002021001112010010
42301231211313213300310
53100041243040232012
641550130443300220
72400211130423025
oct261554567476064
947214067045103
1012212301102132
11398923166410a
1214529aab1a670
136a77cc368c01
1430311569ac4c
15162a0b290c3c
hexb1b65de7c34

12212301102132 has 96 divisors (see below), whose sum is σ = 29995267680000. Its totient is φ = 3861568972800.

The previous prime is 12212301102101. The next prime is 12212301102143. The reversal of 12212301102132 is 23120110321221.

It is a junction number, because it is equal to n+sod(n) for n = 12212301102099 and 12212301102108.

It is a congruent number.

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, 18375369 + ... + 19028367.

It is an arithmetic number, because the mean of its divisors is an integer number (312450705000).

Almost surely, 212212301102132 is an apocalyptic number.

12212301102132 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 12212301102132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14997633840000).

12212301102132 is an abundant number, since it is smaller than the sum of its proper divisors (17782966577868).

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

12212301102132 is a wasteful number, since it uses less digits than its factorization.

12212301102132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653977 (or 653975 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12212301102132 its reverse (23120110321221), we get a palindrome (35332411423353).

The spelling of 12212301102132 in words is "twelve trillion, two hundred twelve billion, three hundred one million, one hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 61 87 116 122 174 183 244 348 366 732 881 1762 1769 2643 3524 3538 5286 5307 7076 10572 10614 21228 25549 51098 53741 76647 102196 107482 153294 161223 214964 306588 322446 644892 652999 1305998 1558489 1958997 2611996 3116978 3917994 4675467 6233956 7835988 9350934 18701868 18936971 37873942 39832939 56810913 75747884 79665878 113621826 119498817 159331756 227243652 238997634 477995268 575292119 1150584238 1155155231 1725876357 2301168476 2310310462 3451752714 3465465693 4620620924 6903505428 6930931386 13861862772 16683471451 33366942902 35092819259 50050414353 66733885804 70185638518 100100828706 105278457777 140371277036 200201657412 210556915554 421113831108 1017691758511 2035383517022 3053075275533 4070767034044 6106150551066 12212301102132