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20201221011120 = 2435196766120781
BaseRepresentation
bin1001001011111011101101…
…00110100011011010110000
32122112012212211021222112020
410211331312212203122300
510121434100034323440
6110544151322431440
74153330042264032
oct445756646433260
978465784258466
1020201221011120
116489320685a36
122323170062580
13b36c75572aa6
144dba5c57bc52
152507305e63d0
hex125f769a36b0

20201221011120 has 160 divisors (see below), whose sum is σ = 66903652058880. Its totient is φ = 5027295144960.

The previous prime is 20201221011109. The next prime is 20201221011143. The reversal of 20201221011120 is 2111012210202.

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 20201221011120.

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, 32754871 + ... + 33365910.

It is an arithmetic number, because the mean of its divisors is an integer number (418147825368).

Almost surely, 220201221011120 is an apocalyptic number.

20201221011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20201221011120 is an abundant number, since it is smaller than the sum of its proper divisors (46702431047760).

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

20201221011120 is a wasteful number, since it uses less digits than its factorization.

20201221011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66120883 (or 66120877 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 20201221011120 its reverse (2111012210202), we get a palindrome (22312233221322).

The spelling of 20201221011120 in words is "twenty trillion, two hundred one billion, two hundred twenty-one million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 67 76 80 95 114 120 134 152 190 201 228 240 268 285 304 335 380 402 456 536 570 670 760 804 912 1005 1072 1140 1273 1340 1520 1608 2010 2280 2546 2680 3216 3819 4020 4560 5092 5360 6365 7638 8040 10184 12730 15276 16080 19095 20368 25460 30552 38190 50920 61104 76380 101840 152760 305520 66120781 132241562 198362343 264483124 330603905 396724686 528966248 661207810 793449372 991811715 1057932496 1256294839 1322415620 1586898744 1983623430 2512589678 2644831240 3173797488 3768884517 3967246860 4430092327 5025179356 5289662480 6281474195 7537769034 7934493720 8860184654 10050358712 12562948390 13290276981 15075538068 15868987440 17720369308 18844422585 20100717424 22150461635 25125896780 26580553962 30151076136 35440738616 37688845170 44300923270 50251793560 53161107924 60302152272 66451384905 70881477232 75377690340 84171754213 88601846540 100503587120 106322215848 132902769810 150755380680 168343508426 177203693080 212644431696 252515262639 265805539620 301510761360 336687016852 354407386160 420858771065 505030525278 531611079240 673374033704 841717542130 1010061050556 1063222158480 1262576313195 1346748067408 1683435084260 2020122101112 2525152626390 3366870168520 4040244202224 5050305252780 6733740337040 10100610505560 20201221011120