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12213121002000 = 243532647976873
BaseRepresentation
bin1011000110111001011010…
…1111010010101000010000
31121020120012101211202021220
42301232112233102220100
53100044432434031000
641550344052445040
72400240344440452
oct261562657225020
947216171752256
1012213121002000
113989612457006
121452b99619780
136a7900198769
143031925262d2
15162a582491a0
hexb1b96bd2a10

12213121002000 has 160 divisors (see below), whose sum is σ = 39377101370880. Its totient is φ = 3256666905600.

The previous prime is 12213121001981. The next prime is 12213121002073. The reversal of 12213121002000 is 20012131221.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 158835564 + ... + 158912436.

It is an arithmetic number, because the mean of its divisors is an integer number (246106883568).

Almost surely, 212213121002000 is an apocalyptic number.

12213121002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12213121002000 is an abundant number, since it is smaller than the sum of its proper divisors (27163980368880).

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

12213121002000 is a wasteful number, since it uses less digits than its factorization.

12213121002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103378 (or 103362 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12213121002000 its reverse (20012131221), we get a palindrome (12233133133221).

The spelling of 12213121002000 in words is "twelve trillion, two hundred thirteen billion, one hundred twenty-one million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 26479 52958 76873 79437 105916 132395 153746 158874 211832 230619 264790 307492 317748 384365 397185 423664 461238 529580 614984 635496 661975 768730 794370 922476 1059160 1153095 1229968 1270992 1323950 1537460 1588740 1844952 1921825 1985925 2118320 2306190 2647900 3074920 3177480 3309875 3689904 3843650 3971850 4612380 5295800 5765475 6149840 6354960 6619750 7687300 7943700 9224760 9609125 9929625 10591600 11530950 13239500 15374600 15887400 18449520 19218250 19859250 23061900 26479000 28827375 30749200 31774800 38436500 39718500 46123800 52958000 57654750 76873000 79437000 92247600 115309500 153746000 158874000 230619000 461238000 2035520167 4071040334 6106560501 8142080668 10177600835 12213121002 16284161336 20355201670 24426242004 30532802505 32568322672 40710403340 48852484008 50888004175 61065605010 81420806680 97704968016 101776008350 122131210020 152664012525 162841613360 203552016700 244262420040 254440020875 305328025050 407104033400 488524840080 508880041750 610656050100 763320062625 814208066800 1017760083500 1221312100200 1526640125250 2035520167000 2442624200400 3053280250500 4071040334000 6106560501000 12213121002000