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1000020212120 = 235173171668159
BaseRepresentation
bin11101000110101011101…
…10010111100110011000
310112121020010110022022002
432203111312113212120
5112341020133241440
62043223011420132
7132151301360336
oct16432566274630
93477203408262
101000020212120
11356119380626
121419888b4648
13733bc524687
1436588dc8b56
151b02d40a115
hexe8d5d97998

1000020212120 has 128 divisors (see below), whose sum is σ = 2493893836800. Its totient is φ = 359201740800.

The previous prime is 1000020212077. The next prime is 1000020212189. The reversal of 1000020212120 is 212120200001.

It is a happy number.

It is a congruent 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, 1162601 + ... + 1830759.

It is an arithmetic number, because the mean of its divisors is an integer number (19483545600).

Almost surely, 21000020212120 is an apocalyptic number.

1000020212120 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 1000020212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246946918400).

1000020212120 is an abundant number, since it is smaller than the sum of its proper divisors (1493873624680).

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

1000020212120 is a wasteful number, since it uses less digits than its factorization.

1000020212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668289 (or 668285 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1000020212120 its reverse (212120200001), we get a palindrome (1212140412121).

The spelling of 1000020212120 in words is "one trillion, twenty million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 31 34 40 62 68 71 85 124 136 142 155 170 248 284 310 340 355 527 568 620 680 710 1054 1207 1240 1420 2108 2201 2414 2635 2840 4216 4402 4828 5270 6035 8804 9656 10540 11005 12070 17608 21080 22010 24140 37417 44020 48280 74834 88040 149668 187085 299336 374170 668159 748340 1336318 1496680 2672636 3340795 5345272 6681590 11358703 13363180 20712929 22717406 26726360 41425858 45434812 47439289 56793515 82851716 90869624 94878578 103564645 113587030 165703432 189757156 207129290 227174060 237196445 352119793 379514312 414258580 454348120 474392890 704239586 806467913 828517160 948785780 1408479172 1470617959 1612935826 1760598965 1897571560 2816958344 2941235918 3225871652 3521197930 4032339565 5882471836 6451743304 7042395860 7353089795 8064679130 11764943672 14084791720 14706179590 16129358260 25000505303 29412359180 32258716520 50001010606 58824718360 100002021212 125002526515 200004042424 250005053030 500010106060 1000020212120