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21111120122000 = 2453211206924179
BaseRepresentation
bin1001100110011010100001…
…10100001101000010010000
32202202012111021000000000212
410303031100310031002100
510231341033222401000
6112522151550303252
74306141144152116
oct463152064150220
982665437000025
1021111120122000
1167aa1a2a412a7
12244b5874b7b28
13ba1a01b53c4c
1452dad8543ab6
15269236c02c35
hex133350d0d090

21111120122000 has 160 divisors (see below), whose sum is σ = 51315527203200. Its totient is φ = 8400017472000.

The previous prime is 21111120121997. The next prime is 21111120122039. The reversal of 21111120122000 is 22102111112.

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, 873105911 + ... + 873130089.

It is an arithmetic number, because the mean of its divisors is an integer number (320722045020).

Almost surely, 221111120122000 is an apocalyptic number.

21111120122000 is a gapful number since it is divisible by the number (20) 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 21111120122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25657763601600).

21111120122000 is an abundant number, since it is smaller than the sum of its proper divisors (30204407081200).

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

21111120122000 is a wasteful number, since it uses less digits than its factorization.

21111120122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26482 (or 26466 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21111120122000 its reverse (22102111112), we get a palindrome (21133222233112).

The spelling of 21111120122000 in words is "twenty-one trillion, one hundred eleven billion, one hundred twenty million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 211 250 400 422 500 844 1000 1055 1688 2000 2069 2110 3376 4138 4220 5275 8276 8440 10345 10550 16552 16880 20690 21100 24179 26375 33104 41380 42200 48358 51725 52750 82760 84400 96716 103450 105500 120895 165520 193432 206900 211000 241790 258625 386864 413800 422000 436559 483580 517250 604475 827600 873118 967160 1034500 1208950 1746236 1934320 2069000 2182795 2417900 3022375 3492472 4138000 4365590 4835800 5101769 6044750 6984944 8731180 9671600 10203538 10913975 12089500 17462360 20407076 21827950 24179000 25508845 34924720 40814152 43655900 48358000 50026351 51017690 54569875 81628304 87311800 100052702 102035380 109139750 127544225 174623600 200105404 204070760 218279500 250131755 255088450 400210808 408141520 436559000 500263510 510176900 637721125 800421616 873118000 1000527020 1020353800 1250658775 1275442250 2001054040 2040707600 2501317550 2550884500 4002108080 5002635100 5101769000 6253293875 10005270200 10203538000 10555560061 12506587750 20010540400 21111120122 25013175500 42222240244 50026351000 52777800305 84444480488 100052702000 105555600610 168888960976 211111201220 263889001525 422222402440 527778003050 844444804880 1055556006100 1319445007625 2111112012200 2638890015250 4222224024400 5277780030500 10555560061000 21111120122000