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12021010100000 = 25551110928191
BaseRepresentation
bin1010111011101101110000…
…0010010110111100100000
31120120012022212021202202022
42232323130002112330200
53033423012041200000
641322213101241012
72350326556634246
oct256733402267440
946505285252668
1012021010100000
1139150998a5a10
121421903b63168
1369276542c915
142d7b6a0c0796
1515ca626b5585
hexaeedc096f20

12021010100000 has 144 divisors (see below), whose sum is σ = 32270251571712. Its totient is φ = 4371276000000.

The previous prime is 12021010099997. The next prime is 12021010100003. The reversal of 12021010100000 is 101012021.

12021010100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12021010099997) and next prime (12021010100003).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (12021010100003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4364096 + ... + 6564095.

It is an arithmetic number, because the mean of its divisors is an integer number (224098969248).

Almost surely, 212021010100000 is an apocalyptic number.

12021010100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021010100000 is an abundant number, since it is smaller than the sum of its proper divisors (20249241471712).

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

12021010100000 is an equidigital number, since it uses as much as digits as its factorization.

12021010100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10928237 (or 10928209 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12021010100000 its reverse (101012021), we get a palindrome (12021111112021).

The spelling of 12021010100000 in words is "twelve trillion, twenty-one billion, ten million, one hundred thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 3125 4000 4400 5000 5500 6250 6875 8800 10000 11000 12500 13750 20000 22000 25000 27500 34375 44000 50000 55000 68750 100000 110000 137500 220000 275000 550000 1100000 10928191 21856382 43712764 54640955 87425528 109281910 120210101 174851056 218563820 240420202 273204775 349702112 437127640 480840404 546409550 601050505 874255280 961680808 1092819100 1202101010 1366023875 1748510560 1923361616 2185638200 2404202020 2732047750 3005252525 3846723232 4371276400 4808404040 5464095500 6010505050 6830119375 8742552800 9616808080 10928191000 12021010100 13660238750 15026262625 19233616160 21856382000 24042020200 27320477500 30052525250 34150596875 43712764000 48084040400 54640955000 60105050500 68301193750 75131313125 96168080800 109281910000 120210101000 136602387500 150262626250 218563820000 240420202000 273204775000 300525252500 375656565625 480840404000 546409550000 601050505000 751313131250 1092819100000 1202101010000 1502626262500 2404202020000 3005252525000 6010505050000 12021010100000