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20122002120 = 23351126895669
BaseRepresentation
bin10010101111010111…
…010110001011001000
31220221100002121200210
4102233113112023020
5312202213031440
613124404201120
71311433124133
oct225727261310
956840077623
1020122002120
118596389020
123a969991a0
131b88a52c3c
14d8c5a321a
157cb819a80
hex4af5d62c8

20122002120 has 128 divisors (see below), whose sum is σ = 65889936000. Its totient is φ = 4875386880.

The previous prime is 20122002113. The next prime is 20122002143. The reversal of 20122002120 is 2120022102.

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 = 20122002096 and 20122002105.

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, 3546646 + ... + 3552314.

It is an arithmetic number, because the mean of its divisors is an integer number (514765125).

Almost surely, 220122002120 is an apocalyptic number.

20122002120 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 20122002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32944968000).

20122002120 is an abundant number, since it is smaller than the sum of its proper divisors (45767933880).

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

20122002120 is a wasteful number, since it uses less digits than its factorization.

20122002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8383 (or 8379 counting only the distinct ones).

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

Adding to 20122002120 its reverse (2120022102), we get a palindrome (22242024222).

The spelling of 20122002120 in words is "twenty billion, one hundred twenty-two million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 2689 5378 5669 8067 10756 11338 13445 16134 17007 21512 22676 26890 28345 29579 32268 34014 40335 45352 53780 56690 59158 62359 64536 68028 80670 85035 88737 107560 113380 118316 124718 136056 147895 161340 170070 177474 187077 226760 236632 249436 295790 311795 322680 340140 354948 374154 443685 498872 591580 623590 680280 709896 748308 887370 935385 1183160 1247180 1496616 1774740 1870770 2494360 3549480 3741540 7483080 15243941 30487882 45731823 60975764 76219705 91463646 121951528 152439410 167683351 182927292 228659115 304878820 335366702 365854584 457318230 503050053 609757640 670733404 838416755 914636460 1006100106 1341466808 1676833510 1829272920 2012200212 2515250265 3353667020 4024400424 5030500530 6707334040 10061001060 20122002120