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21120121011200 = 210525931391239
BaseRepresentation
bin1001100110101011010010…
…10011110111110000000000
32202210001201112202112210112
410303111221103313300000
510232013001434324300
6112530241042450452
74306610200355441
oct463255123676000
982701645675715
1021120121011200
116802aa178a602
122451279963a28
13ba2807855ba3
1453030db0b2c8
152695b2007e35
hex1335694f7c00

21120121011200 has 132 divisors (see below), whose sum is σ = 52440646507920. Its totient is φ = 8433796055040.

The previous prime is 21120121011083. The next prime is 21120121011221. The reversal of 21120121011200 is 211012102112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14485181 + ... + 15876419.

It is an arithmetic number, because the mean of its divisors is an integer number (397277625060).

Almost surely, 221120121011200 is an apocalyptic number.

21120121011200 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 21120121011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26220323253960).

21120121011200 is an abundant number, since it is smaller than the sum of its proper divisors (31320525496720).

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

21120121011200 is a wasteful number, since it uses less digits than its factorization.

21120121011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391862 (or 1391839 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21120121011200 its reverse (211012102112), we get a palindrome (21331133113312).

The spelling of 21120121011200 in words is "twenty-one trillion, one hundred twenty billion, one hundred twenty-one million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 593 640 800 1024 1186 1280 1600 2372 2560 2965 3200 4744 5120 5930 6400 9488 11860 12800 14825 18976 23720 25600 29650 37952 47440 59300 75904 94880 118600 151808 189760 237200 303616 379520 474400 607232 759040 948800 1391239 1518080 1897600 2782478 3036160 3795200 5564956 6956195 7590400 11129912 13912390 15180800 22259824 27824780 34780975 44519648 55649560 69561950 89039296 111299120 139123900 178078592 222598240 278247800 356157184 445196480 556495600 712314368 825004727 890392960 1112991200 1424628736 1650009454 1780785920 2225982400 3300018908 3561571840 4125023635 4451964800 6600037816 7123143680 8250047270 8903929600 13200075632 16500094540 17807859200 20625118175 26400151264 33000189080 35615718400 41250236350 52800302528 66000378160 82500472700 105600605056 132000756320 165000945400 211201210112 264001512640 330001890800 422402420224 528003025280 660003781600 844804840448 1056006050560 1320007563200 2112012101120 2640015126400 4224024202240 5280030252800 10560060505600 21120121011200