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12021110001000 = 2332531335678889
BaseRepresentation
bin1010111011101110000111…
…1111011100110101101000
31120120012120211021021011100
42232323201333130311220
53033423213130013000
641322231030401400
72350332212034642
oct256734177346550
946505524237140
1012021110001000
11391514022a021
121421931500260
1369278003a339
142d7b79487892
1515ca6b34aa00
hexaeee1fdcd68

12021110001000 has 96 divisors (see below), whose sum is σ = 40631351833800. Its totient is φ = 3205629331200.

The previous prime is 12021110000987. The next prime is 12021110001037. The reversal of 12021110001000 is 10001112021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7405375723524 + 4615734277476 = 2721282^2 + 2148426^2 .

It is a super-2 number, since 2×120211100010002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 667830445 + ... + 667848444.

Almost surely, 212021110001000 is an apocalyptic number.

12021110001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021110001000 is an abundant number, since it is smaller than the sum of its proper divisors (28610241832800).

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

12021110001000 is a wasteful number, since it uses less digits than its factorization.

12021110001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335678916 (or 1335678899 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12021110001000 its reverse (10001112021), we get a palindrome (12031111113021).

The spelling of 12021110001000 in words is "twelve trillion, twenty-one billion, one hundred ten million, one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 1335678889 2671357778 4007036667 5342715556 6678394445 8014073334 10685431112 12021110001 13356788890 16028146668 20035183335 24042220002 26713577780 32056293336 33391972225 40070366670 48084440004 53427155560 60105550005 66783944450 80140733340 96168880008 100175916675 120211100010 133567888900 160281466680 166959861125 200351833350 240422200020 267135777800 300527750025 333919722250 400703666700 480844400040 500879583375 601055500050 667839444500 801407333400 1001759166750 1202111000100 1335678889000 1502638750125 2003518333500 2404222000200 3005277500250 4007036667000 6010555000500 12021110001000