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21120221012120 = 23519937316094421
BaseRepresentation
bin1001100110101011011110…
…10001010110000010011000
32202210001222111221010021022
410303111233101112002120
510232013203034341440
6112530255014102012
74306612523353346
oct463255721260230
982701874833238
1021120221012120
11680304318179a
1224512a734a908
13ba2822499c29
1453031d0dc996
152695babaccb5
hex13356f456098

21120221012120 has 128 divisors (see below), whose sum is σ = 47927935440000. Its totient is φ = 8375995330560.

The previous prime is 21120221012087. The next prime is 21120221012129. The reversal of 21120221012120 is 2121012202112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21120221012129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4777247510 + ... + 4777251930.

It is an arithmetic number, because the mean of its divisors is an integer number (374436995625).

Almost surely, 221120221012120 is an apocalyptic number.

21120221012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21120221012120 is an abundant number, since it is smaller than the sum of its proper divisors (26807714427880).

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

21120221012120 is a wasteful number, since it uses less digits than its factorization.

21120221012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6613 (or 6609 counting only the distinct ones).

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

Adding to 21120221012120 its reverse (2121012202112), we get a palindrome (23241233214232).

The spelling of 21120221012120 in words is "twenty-one trillion, one hundred twenty billion, two hundred twenty-one million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 199 373 398 746 796 995 1492 1592 1609 1865 1990 2984 3218 3730 3980 4421 6436 7460 7960 8045 8842 12872 14920 16090 17684 22105 32180 35368 44210 64360 74227 88420 148454 176840 296908 320191 371135 593816 600157 640382 742270 879779 1200314 1280764 1484540 1600955 1649033 1759558 2400628 2561528 2969080 3000785 3201910 3298066 3519116 4398895 4801256 6001570 6403820 6596132 7038232 7113389 8245165 8797790 12003140 12807640 13192264 14226778 16490330 17595580 24006280 28453556 32980660 35191160 35566945 56907112 65961320 71133890 119431243 142267780 238862486 284535560 328157567 477724972 597156215 656315134 955449944 1194312430 1312630268 1415564411 1640787835 2388624860 2625260536 2653294097 2831128822 3281575670 4777249720 5306588194 5662257644 6563151340 7077822055 10613176388 11324515288 13126302680 13266470485 14155644110 21226352776 26532940970 28311288220 53065881940 56622576440 106131763880 528005525303 1056011050606 2112022101212 2640027626515 4224044202424 5280055253030 10560110506060 21120221012120