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1022202000120 = 233577069172147
BaseRepresentation
bin11101101111111111111…
…11001011001011111000
310121201111000101220000210
432313333333023023320
5113221432203000440
62101332040231120
7133565055432240
oct16677777131370
93551430356023
101022202000120
11364571420224
1214613946b4a0
1375515c25312
1437690d6ab20
151b8ca996a80
hexedfffcb2f8

1022202000120 has 128 divisors (see below), whose sum is σ = 3505208716800. Its totient is φ = 233611762176.

The previous prime is 1022202000119. The next prime is 1022202000143. The reversal of 1022202000120 is 210002022201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1022202000096 and 1022202000105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5851887 + ... + 6024033.

It is an arithmetic number, because the mean of its divisors is an integer number (27384443100).

Almost surely, 21022202000120 is an apocalyptic number.

1022202000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022202000120 is an abundant number, since it is smaller than the sum of its proper divisors (2483006716680).

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

1022202000120 is a wasteful number, since it uses less digits than its factorization.

1022202000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179237 (or 179233 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1022202000120 its reverse (210002022201), we get a palindrome (1232204022321).

The spelling of 1022202000120 in words is "one trillion, twenty-two billion, two hundred two million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 7069 14138 21207 28276 35345 42414 49483 56552 70690 84828 98966 106035 141380 148449 169656 172147 197932 212070 247415 282760 296898 344294 395864 424140 494830 516441 593796 688588 742245 848280 860735 989660 1032882 1187592 1205029 1377176 1484490 1721470 1979320 2065764 2410058 2582205 2968980 3442940 3615087 4131528 4820116 5164410 5937960 6025145 6885880 7230174 9640232 10328820 12050290 14460348 18075435 20657640 24100580 28920696 36150870 48201160 72301740 144603480 1216907143 2433814286 3650721429 4867628572 6084535715 7301442858 8518350001 9735257144 12169071430 14602885716 17036700002 18253607145 24338142860 25555050003 29205771432 34073400004 36507214290 42591750005 48676285720 51110100006 68146800008 73014428580 85183500010 102220200012 127775250015 146028857160 170367000020 204440400024 255550500030 340734000040 511101000060 1022202000120