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20000021012120 = 2354761401434909
BaseRepresentation
bin1001000110000100111100…
…01001011101111010011000
32121210222112212000000212102
410203002132021131322120
510110140020334341440
6110311514404302532
74132645110434462
oct443023611357230
977728485000772
1020000021012120
116410a63509826
1222b017a6a1a48
13b20cbc75ca46
144d2012d6b132
1524a3a6b36b15
hex12309e25de98

20000021012120 has 128 divisors (see below), whose sum is σ = 46827490348800. Its totient is φ = 7682214912000.

The previous prime is 20000021011991. The next prime is 20000021012141. The reversal of 20000021012120 is 2121012000002.

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, 45769226 + ... + 46204134.

It is an arithmetic number, because the mean of its divisors is an integer number (365839768350).

Almost surely, 220000021012120 is an apocalyptic number.

20000021012120 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 20000021012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23413745174400).

20000021012120 is an abundant number, since it is smaller than the sum of its proper divisors (26827469336680).

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

20000021012120 is a wasteful number, since it uses less digits than its factorization.

20000021012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435429 (or 435425 counting only the distinct ones).

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

Adding to 20000021012120 its reverse (2121012000002), we get a palindrome (22121033012122).

The spelling of 20000021012120 in words is "twenty trillion, twenty-one million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 61 94 122 188 235 244 305 376 401 470 488 610 802 940 1220 1604 1880 2005 2440 2867 3208 4010 5734 8020 11468 14335 16040 18847 22936 24461 28670 37694 48922 57340 75388 94235 97844 114680 122305 150776 188470 195688 244610 376940 434909 489220 753880 869818 978440 1149667 1739636 2174545 2299334 3479272 4349090 4598668 5748335 8698180 9197336 11496670 17396360 20440723 22993340 26529449 40881446 45986680 53058898 81762892 102203615 106117796 132647245 163525784 174398509 204407230 212235592 265294490 348797018 408814460 530588980 697594036 817628920 871992545 1061177960 1246884103 1395188072 1743985090 2493768206 3487970180 4987536412 6234420515 6975940360 8196729923 9975072824 10638309049 12468841030 16393459846 21276618098 24937682060 32786919692 40983649615 42553236196 49875364120 53191545245 65573839384 81967299230 85106472392 106383090490 163934598460 212766180980 327869196920 425532361960 500000525303 1000001050606 2000002101212 2500002626515 4000004202424 5000005253030 10000010506060 20000021012120