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21202112010120 = 2335593119960131
BaseRepresentation
bin1001101001000100000000…
…10110101101011110001000
32210001220100122021211212020
410310202000112231132020
510234333411133310440
6113032041002244440
74315542046352556
oct464420026553610
983056318254766
1021202112010120
116834846545638
1224651404b6720
13baa473303072
1453428b07abd6
1526b7b01ac3d0
hex1348805ad788

21202112010120 has 128 divisors (see below), whose sum is σ = 64705215744000. Its totient is φ = 5556279991040.

The previous prime is 21202112010059. The next prime is 21202112010143. The reversal of 21202112010120 is 2101021120212.

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 21202112010120.

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, 21602455 + ... + 22562585.

It is an arithmetic number, because the mean of its divisors is an integer number (505509498000).

Almost surely, 221202112010120 is an apocalyptic number.

21202112010120 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 21202112010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32352607872000).

21202112010120 is an abundant number, since it is smaller than the sum of its proper divisors (43503103733880).

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

21202112010120 is a wasteful number, since it uses less digits than its factorization.

21202112010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963323 (or 963319 counting only the distinct ones).

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

Adding to 21202112010120 its reverse (2101021120212), we get a palindrome (23303133130332).

The spelling of 21202112010120 in words is "twenty-one trillion, two hundred two billion, one hundred twelve million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 472 590 708 885 1180 1416 1770 2360 3119 3540 6238 7080 9357 12476 15595 18714 24952 31190 37428 46785 62380 74856 93570 124760 184021 187140 368042 374280 552063 736084 920105 960131 1104126 1472168 1840210 1920262 2208252 2760315 2880393 3680420 3840524 4416504 4800655 5520630 5760786 7360840 7681048 9601310 11041260 11521572 14401965 19202620 22082520 23043144 28803930 38405240 56647729 57607860 113295458 115215720 169943187 226590916 283238645 339886374 453181832 566477290 679772748 849715935 1132954580 1359545496 1699431870 2265909160 2994648589 3398863740 5989297178 6797727480 8983945767 11978594356 14973242945 17967891534 23957188712 29946485890 35935783068 44919728835 59892971780 71871566136 89839457670 119785943560 176684266751 179678915340 353368533502 359357830680 530052800253 706737067004 883421333755 1060105600506 1413474134008 1766842667510 2120211201012 2650264001265 3533685335020 4240422402024 5300528002530 7067370670040 10601056005060 21202112010120