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12121010012120 = 23510133788710037
BaseRepresentation
bin1011000001100010010001…
…1111101111111111011000
31120220202110000202122110012
42300120210133233333120
53042042312030341440
641440152022341052
72360466633105452
oct260304437577730
946822400678405
1012121010012120
113953545180a89
12143917188a788
1369c010c0b359
142dc93511b2d2
151604668d3e65
hexb06247effd8

12121010012120 has 128 divisors (see below), whose sum is σ = 27657921432960. Its totient is φ = 4780283289600.

The previous prime is 12121010012119. The next prime is 12121010012147. The reversal of 12121010012120 is 2121001012121.

It is a junction number, because it is equal to n+sod(n) for n = 12121010012095 and 12121010012104.

It is a congruent number.

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, 1207627742 + ... + 1207637778.

It is an arithmetic number, because the mean of its divisors is an integer number (216077511195).

Almost surely, 212121010012120 is an apocalyptic number.

12121010012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121010012120 is an abundant number, since it is smaller than the sum of its proper divisors (15536911420840).

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

12121010012120 is a wasteful number, since it uses less digits than its factorization.

12121010012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11373 (or 11369 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12121010012120 its reverse (2121001012121), we get a palindrome (14242011024241).

The spelling of 12121010012120 in words is "twelve trillion, one hundred twenty-one billion, ten million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 101 202 337 404 505 674 808 887 1010 1348 1685 1774 2020 2696 3370 3548 4040 4435 6740 7096 8870 10037 13480 17740 20074 34037 35480 40148 50185 68074 80296 89587 100370 136148 170185 179174 200740 272296 298919 340370 358348 401480 447935 597838 680740 716696 895870 1013737 1195676 1361480 1494595 1791740 2027474 2391352 2989190 3382469 3583480 4054948 5068685 5978380 6764938 8109896 8902819 10137370 11956760 13529876 16912345 17805638 20274740 27059752 30190819 33824690 35611276 40549480 44514095 60381638 67649380 71222552 89028190 120763276 135298760 150954095 178056380 241526552 301908190 341629369 356112760 603816380 683258738 899184719 1207632760 1366517476 1708146845 1798369438 2733034952 3000250003 3416293690 3596738876 4495923595 6000500006 6832587380 7193477752 8991847190 12001000012 13665174760 15001250015 17983694380 24002000024 30002500030 35967388760 60005000060 120010000120 303025250303 606050500606 1212101001212 1515126251515 2424202002424 3030252503030 6060505006060 12121010012120