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12102021111012 = 2237461320397571
BaseRepresentation
bin1011000000011011100010…
…1010110101110011100100
31120211221102122210112010120
42300012320222311303210
53041234414401023022
641423331452321540
72356225236106650
oct260067052656344
946757378715116
1012102021111012
113946490466588
1214355524732b0
1369a2a5b586b1
142dba53231a60
1515ec047dcd5c
hexb01b8ab5ce4

12102021111012 has 96 divisors (see below), whose sum is σ = 32352489759744. Its totient is φ = 3449107305600.

The previous prime is 12102021111007. The next prime is 12102021111053. The reversal of 12102021111012 is 21011112020121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12102021110982 and 12102021111000.

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, 123984187 + ... + 124081757.

It is an arithmetic number, because the mean of its divisors is an integer number (337005101664).

Almost surely, 212102021111012 is an apocalyptic number.

12102021111012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12102021111012 is an abundant number, since it is smaller than the sum of its proper divisors (20250468648732).

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

12102021111012 is a wasteful number, since it uses less digits than its factorization.

12102021111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101249 (or 101247 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12102021111012 its reverse (21011112020121), we get a palindrome (33113133131133).

The spelling of 12102021111012 in words is "twelve trillion, one hundred two billion, twenty-one million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 461 922 1383 1844 2766 3203 3227 5532 6406 6454 9609 9681 12812 12908 19218 19362 22421 38436 38724 44842 67263 89684 97571 134526 195142 269052 292713 390284 585426 682997 1170852 1365994 1476583 2048991 2731988 2953166 4097982 4429749 5906332 8195964 8859498 10336081 17718996 20672162 31008243 41344324 44980231 62016486 89960462 124032972 134940693 179920924 269881386 312519913 314861617 539762772 625039826 629723234 937559739 944584851 1250079652 1259446468 1875119478 1889169702 2187639391 3750238956 3778339404 4375278782 6562918173 8750557564 13125836346 26251672692 144071679893 288143359786 432215039679 576286719572 864430079358 1008501759251 1728860158716 2017003518502 3025505277753 4034007037004 6051010555506 12102021111012