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12021012021120 = 273558710666003
BaseRepresentation
bin1010111011101101110000…
…1001101011111110000000
31120120012022222220101000220
42232323130021223332000
53033423013034133440
641322213210343040
72350326612155214
oct256733411537600
946505288811026
1012021012021120
11391509a998313
12142190472aa80
1369276595318b
142d7b6a460944
1515ca629448d0
hexaeedc26bf80

12021012021120 has 128 divisors (see below), whose sum is σ = 38382255354240. Its totient is φ = 3200141912064.

The previous prime is 12021012021103. The next prime is 12021012021121. The reversal of 12021012021120 is 2112021012021.

It is a tau number, because it is divible by the number of its divisors (128).

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 12021012021120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021012021121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4205962 + ... + 6460041.

It is an arithmetic number, because the mean of its divisors is an integer number (299861369955).

Almost surely, 212021012021120 is an apocalyptic number.

12021012021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021012021120 is an abundant number, since it is smaller than the sum of its proper divisors (26361243333120).

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

12021012021120 is a wasteful number, since it uses less digits than its factorization.

12021012021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10666612 (or 10666600 counting only the distinct ones).

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

Adding to 12021012021120 its reverse (2112021012021), we get a palindrome (14133033033141).

The spelling of 12021012021120 in words is "twelve trillion, twenty-one billion, twelve million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 587 640 960 1174 1761 1920 2348 2935 3522 4696 5870 7044 8805 9392 11740 14088 17610 18784 23480 28176 35220 37568 46960 56352 70440 75136 93920 112704 140880 187840 225408 281760 375680 563520 1127040 10666003 21332006 31998009 42664012 53330015 63996018 85328024 106660030 127992036 159990045 170656048 213320060 255984072 319980090 341312096 426640120 511968144 639960180 682624192 853280240 1023936288 1279920360 1365248384 1706560480 2047872576 2559840720 3413120960 4095745152 5119681440 6260943761 6826241920 10239362880 12521887522 18782831283 20478725760 25043775044 31304718805 37565662566 50087550088 62609437610 75131325132 93914156415 100175100176 125218875220 150262650264 187828312830 200350200352 250437750440 300525300528 375656625660 400700400704 500875500880 601050601056 751313251320 801400801408 1001751001760 1202101202112 1502626502640 2003502003520 2404202404224 3005253005280 4007004007040 6010506010560 12021012021120