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12220001221000 = 235319738810383
BaseRepresentation
bin1011000111010011000011…
…0101001111100110001000
31121021012221220012002102211
42301310300311033212020
53100203030303033000
641553442511434504
72400603010360126
oct261646065174610
947235856162384
1012220001221000
113991523129411
121454399825a34
136a8458723371
143036461c2916
15162d0c2a27ba
hexb1d30d4f988

12220001221000 has 128 divisors (see below), whose sum is σ = 30512121868800. Its totient is φ = 4567302028800.

The previous prime is 12220001220989. The next prime is 12220001221061. The reversal of 12220001221000 is 12210002221.

It is a happy 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, 3018192 + ... + 5792191.

It is an arithmetic number, because the mean of its divisors is an integer number (238375952100).

Almost surely, 212220001221000 is an apocalyptic number.

12220001221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220001221000 is an abundant number, since it is smaller than the sum of its proper divisors (18292120647800).

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

12220001221000 is a wasteful number, since it uses less digits than its factorization.

12220001221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8810496 (or 8810482 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12220001221000 its reverse (12210002221), we get a palindrome (12232211223221).

The spelling of 12220001221000 in words is "twelve trillion, two hundred twenty billion, one million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 73 76 95 100 125 146 152 190 200 250 292 365 380 475 500 584 730 760 950 1000 1387 1460 1825 1900 2375 2774 2920 3650 3800 4750 5548 6935 7300 9125 9500 11096 13870 14600 18250 19000 27740 34675 36500 55480 69350 73000 138700 173375 277400 346750 693500 1387000 8810383 17620766 35241532 44051915 70483064 88103830 167397277 176207660 220259575 334794554 352415320 440519150 643157959 669589108 836986385 881038300 1101297875 1286315918 1339178216 1673972770 1762076600 2202595750 2572631836 3215789795 3347945540 4184931925 4405191500 5145263672 6431579590 6695891080 8369863850 8810383000 12220001221 12863159180 16078948975 16739727700 20924659625 24440002442 25726318360 32157897950 33479455400 41849319250 48880004884 61100006105 64315795900 80394744875 83698638500 97760009768 122200012210 128631591800 160789489750 167397277000 244400024420 305500030525 321578979500 488800048840 611000061050 643157959000 1222000122100 1527500152625 2444000244200 3055000305250 6110000610500 12220001221000