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20021221112120 = 2352359336698477
BaseRepresentation
bin1001000110101100011011…
…10001011011100100111000
32121220000021022201200211022
410203112031301123210320
510111011430101041440
6110325342204122012
74134325344344264
oct443261561334470
977800238650738
1020021221112120
116419a52402728
1222b42b6536308
13b22cba965507
144d30647ab0a4
1524abe7e0ccb5
hex12358dc5b938

20021221112120 has 64 divisors (see below), whose sum is σ = 47085615213120. Its totient is φ = 7647375222784.

The previous prime is 20021221112089. The next prime is 20021221112131. The reversal of 20021221112120 is 2121112212002.

It is a super-2 number, since 2×200212211121202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17803679 + ... + 18894798.

It is an arithmetic number, because the mean of its divisors is an integer number (735712737705).

Almost surely, 220021221112120 is an apocalyptic number.

20021221112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20021221112120 is an abundant number, since it is smaller than the sum of its proper divisors (27064394101000).

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

20021221112120 is a wasteful number, since it uses less digits than its factorization.

20021221112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36699104 (or 36699100 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 20021221112120 its reverse (2121112212002), we get a palindrome (22142333324122).

The spelling of 20021221112120 in words is "twenty trillion, twenty-one billion, two hundred twenty-one million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 593 920 1186 2372 2965 4744 5930 11860 13639 23720 27278 54556 68195 109112 136390 272780 545560 36698477 73396954 146793908 183492385 293587816 366984770 733969540 844064971 1467939080 1688129942 3376259884 4220324855 6752519768 8440649710 16881299420 21762196861 33762598840 43524393722 87048787444 108810984305 174097574888 217621968610 435243937220 500530527803 870487874440 1001061055606 2002122111212 2502652639015 4004244222424 5005305278030 10010610556060 20021221112120