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12213313102000 = 245331267173751
BaseRepresentation
bin1011000110111010001000…
…1100000110000010110000
31121020120200210022102221201
42301232202030012002300
53100100331123231000
641550415114100544
72400245166322663
oct261564214060260
947216623272851
1012213313102000
11398970093363a
121453031a1a754
136a7930c17cba
143031adc4d6da
15162a6a04296a
hexb1ba23060b0

12213313102000 has 160 divisors (see below), whose sum is σ = 30496256114688. Its totient is φ = 4725900000000.

The previous prime is 12213313101991. The next prime is 12213313102033. The reversal of 12213313102000 is 20131331221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165565125 + ... + 165638875.

Almost surely, 212213313102000 is an apocalyptic number.

12213313102000 is a gapful number since it is divisible by the number (10) 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 12213313102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15248128057344).

12213313102000 is an abundant number, since it is smaller than the sum of its proper divisors (18282943012688).

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

12213313102000 is a wasteful number, since it uses less digits than its factorization.

12213313102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76476 (or 76460 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 12213313102000 its reverse (20131331221), we get a palindrome (12233444433221).

The spelling of 12213313102000 in words is "twelve trillion, two hundred thirteen billion, three hundred thirteen million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 775 1000 1240 1550 2000 2480 2671 3100 3875 5342 6200 7750 10684 12400 13355 15500 21368 26710 31000 42736 53420 62000 66775 73751 82801 106840 133550 147502 165602 213680 267100 295004 331204 333875 368755 414005 534200 590008 662408 667750 737510 828010 1068400 1180016 1324816 1335500 1475020 1656020 1843775 2070025 2286281 2671000 2950040 3312040 3687550 4140050 4572562 5342000 5900080 6624080 7375100 8280100 9145124 9218875 10350125 11431405 14750200 16560200 18290248 18437750 20700250 22862810 29500400 33120400 36580496 36875500 41400500 45725620 57157025 73751000 82801000 91451240 114314050 147502000 165602000 182902480 196988921 228628100 285785125 393977842 457256200 571570250 787955684 914512400 984944605 1143140500 1575911368 1969889210 2286281000 3151822736 3939778420 4572562000 4924723025 6106656551 7879556840 9849446050 12213313102 15759113680 19698892100 24426626204 24623615125 30533282755 39397784200 48853252408 49247230250 61066565510 78795568400 97706504816 98494460500 122133131020 152666413775 196988921000 244266262040 305332827550 393977842000 488532524080 610665655100 763332068875 1221331310200 1526664137750 2442662620400 3053328275500 6106656551000 12213313102000