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20120421120 = 283531716529
BaseRepresentation
bin10010101111010001…
…010100001100000000
31220221020010021222020
4102233101110030000
5312201311433440
613124310241440
71311413520612
oct225721241400
956836107866
1020120421120
1185954a9208
123a96356280
131b8861b437
14d8c2b0db2
157cb6063d0
hex4af454300

20120421120 has 144 divisors (see below), whose sum is σ = 64466206560. Its totient is φ = 5348196352.

The previous prime is 20120421119. The next prime is 20120421121. The reversal of 20120421120 is 2112402102.

It is an interprime number because it is at equal distance from previous prime (20120421119) and next prime (20120421121).

It is a super-2 number, since 2×201204211202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20120421120.

It is not an unprimeable number, because it can be changed into a prime (20120421121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1209016 + ... + 1225544.

It is an arithmetic number, because the mean of its divisors is an integer number (447681990).

Almost surely, 220120421120 is an apocalyptic number.

20120421120 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 20120421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32233103280).

20120421120 is an abundant number, since it is smaller than the sum of its proper divisors (44345785440).

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

20120421120 is a wasteful number, since it uses less digits than its factorization.

20120421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16870 (or 16856 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20120421120 its reverse (2112402102), we get a palindrome (22232823222).

The spelling of 20120421120 in words is "twenty billion, one hundred twenty million, four hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 317 320 384 480 634 640 768 951 960 1268 1280 1585 1902 1920 2536 3170 3804 3840 4755 5072 6340 7608 9510 10144 12680 15216 16529 19020 20288 25360 30432 33058 38040 40576 49587 50720 60864 66116 76080 81152 82645 99174 101440 121728 132232 152160 165290 198348 202880 243456 247935 264464 304320 330580 396696 405760 495870 528928 608640 661160 793392 991740 1057856 1217280 1322320 1586784 1983480 2115712 2644640 3173568 3966960 4231424 5239693 5289280 6347136 7933920 10479386 10578560 12694272 15719079 15867840 20958772 21157120 26198465 31438158 31735680 41917544 52396930 62876316 63471360 78595395 83835088 104793860 125752632 157190790 167670176 209587720 251505264 314381580 335340352 419175440 503010528 628763160 670680704 838350880 1006021056 1257526320 1341361408 1676701760 2012042112 2515052640 3353403520 4024084224 5030105280 6706807040 10060210560 20120421120