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20001202011120 = 24351158071304669
BaseRepresentation
bin1001000110000111001001…
…00010100111101111110000
32121211002121011020222221010
410203003210202213233300
510110144430203323440
6110312231513230520
74133016300654321
oct443034442475760
977732534228833
1020001202011120
11641150a117860
1222b044a102440
13b2114a330715
144d20c5b52448
1524a42566c580
hex1230e48a7bf0

20001202011120 has 160 divisors (see below), whose sum is σ = 67652128558080. Its totient is φ = 4847937541120.

The previous prime is 20001202011101. The next prime is 20001202011149. The reversal of 20001202011120 is 2111020210002.

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 = 20001202011096 and 20001202011105.

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, 14678146 + ... + 15982814.

It is an arithmetic number, because the mean of its divisors is an integer number (422825803488).

Almost surely, 220001202011120 is an apocalyptic number.

20001202011120 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 20001202011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33826064279040).

20001202011120 is an abundant number, since it is smaller than the sum of its proper divisors (47650926546960).

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

20001202011120 is a wasteful number, since it uses less digits than its factorization.

20001202011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310503 (or 1310497 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20001202011120 its reverse (2111020210002), we get a palindrome (22112222221122).

The spelling of 20001202011120 in words is "twenty trillion, one billion, two hundred two million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 5807 11614 17421 23228 29035 34842 46456 58070 63877 69684 87105 92912 116140 127754 139368 174210 191631 232280 255508 278736 319385 348420 383262 464560 511016 638770 696840 766524 958155 1022032 1277540 1304669 1393680 1533048 1916310 2555080 2609338 3066096 3832620 3914007 5110160 5218676 6523345 7665240 7828014 10437352 13046690 14351359 15330480 15656028 19570035 20874704 26093380 28702718 31312056 39140070 43054077 52186760 57405436 62624112 71756795 78280140 86108154 104373520 114810872 143513590 156560280 172216308 215270385 229621744 287027180 313120560 344432616 430540770 574054360 688865232 861081540 1148108720 1722163080 3444326160 7576212883 15152425766 22728638649 30304851532 37881064415 45457277298 60609703064 75762128830 83338341713 90914554596 113643193245 121219406128 151524257660 166676683426 181829109192 227286386490 250015025139 303048515320 333353366852 363658218384 416691708565 454572772980 500030050278 606097030640 666706733704 833383417130 909145545960 1000060100556 1250075125695 1333413467408 1666766834260 1818291091920 2000120201112 2500150251390 3333533668520 4000240402224 5000300502780 6667067337040 10000601005560 20001202011120