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21212204112440 = 23511613426118457
BaseRepresentation
bin1001101001010110110011…
…11001000001101000111000
32210002212101222100202121122
410310223121321001220320
510240020043223044230
6113040430235124412
74316350122664445
oct464533171015070
983085358322548
1021212204112440
116839055247470
1224670982a3708
13bab3c10ca343
145349675369cc
1526bba11aebe5
hex134ad9e41a38

21212204112440 has 128 divisors (see below), whose sum is σ = 52166321507520. Its totient is φ = 7698721075200.

The previous prime is 21212204112419. The next prime is 21212204112443. The reversal of 21212204112440 is 4421140221212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21212204112443) 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, 1149267692 + ... + 1149286148.

Almost surely, 221212204112440 is an apocalyptic number.

21212204112440 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 21212204112440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26083160753760).

21212204112440 is an abundant number, since it is smaller than the sum of its proper divisors (30954117395080).

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

21212204112440 is a wasteful number, since it uses less digits than its factorization.

21212204112440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23353 (or 23349 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 21212204112440 its reverse (4421140221212), we get a palindrome (25633344333652).

The spelling of 21212204112440 in words is "twenty-one trillion, two hundred twelve billion, two hundred four million, one hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 613 1226 2452 3065 4261 4904 6130 6743 8522 12260 13486 17044 18457 21305 24520 26972 33715 34088 36914 42610 46871 53944 67430 73828 85220 92285 93742 134860 147656 170440 184570 187484 203027 234355 269720 369140 374968 406054 468710 738280 812108 937420 1015135 1624216 1874840 2030270 2611993 4060540 5223986 8121080 10447972 11314141 13059965 20895944 22628282 26119930 28731923 45256564 52239860 56570705 57463846 78645277 90513128 104479720 113141410 114927692 124455551 143659615 157290554 226282820 229855384 248911102 287319230 314581108 393226385 452565640 497822204 574638460 622277755 629162216 786452770 865098047 995644408 1149276920 1244555510 1572905540 1730196094 2489111020 3145811080 3460392188 4325490235 4978222040 6920784376 8650980470 17301960940 34603921880 48209554801 96419109602 192838219204 241047774005 385676438408 482095548010 530305102811 964191096020 1060610205622 1928382192040 2121220411244 2651525514055 4242440822488 5303051028110 10606102056220 21212204112440