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12110212111000 = 235389200367933
BaseRepresentation
bin1011000000111010000011…
…1001000001101010011000
31120212201120111121102202111
42300032200321001222120
53041403203300023000
641431204334042104
72356635226341253
oct260164071015230
946781514542674
1012110212111000
113949a0402a063
121437059649334
1369acacb24453
142dc1cd01809a
15160033965cba
hexb03a0e41a98

12110212111000 has 128 divisors (see below), whose sum is σ = 28671028401600. Its totient is φ = 4787195212800.

The previous prime is 12110212110883. The next prime is 12110212111021. The reversal of 12110212111000 is 11121201121.

It is a happy number.

It is a super-2 number, since 2×121102121110002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178233034 + ... + 178300966.

Almost surely, 212110212111000 is an apocalyptic number.

12110212111000 is a gapful number since it is divisible by the number (10) 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 12110212111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14335514200800).

12110212111000 is an abundant number, since it is smaller than the sum of its proper divisors (16560816290600).

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

12110212111000 is a wasteful number, since it uses less digits than its factorization.

12110212111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70046 (or 70032 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12110212111000 its reverse (11121201121), we get a palindrome (12121333312121).

The spelling of 12110212111000 in words is "twelve trillion, one hundred ten billion, two hundred twelve million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 125 178 200 250 356 445 500 712 890 1000 1780 2003 2225 3560 4006 4450 8012 8900 10015 11125 16024 17800 20030 22250 40060 44500 50075 67933 80120 89000 100150 135866 178267 200300 250375 271732 339665 356534 400600 500750 543464 679330 713068 891335 1001500 1358660 1426136 1698325 1782670 2003000 2717320 3396650 3565340 4456675 6046037 6793300 7130680 8491625 8913350 12092074 13586600 16983250 17826700 22283375 24184148 30230185 33966500 35653400 44566750 48368296 60460370 67933000 89133500 120920740 136069799 151150925 178267000 241841480 272139598 302301850 544279196 604603700 680348995 755754625 1088558392 1209207400 1360697990 1511509250 2721395980 3023018500 3401744975 5442791960 6046037000 6803489950 12110212111 13606979900 17008724875 24220424222 27213959800 34017449750 48440848444 60551060555 68034899500 96881696888 121102121110 136069799000 242204242220 302755302775 484408484440 605510605550 1211021211100 1513776513875 2422042422200 3027553027750 6055106055500 12110212111000