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12101021002120 = 2352947829267739
BaseRepresentation
bin1011000000010111110100…
…0011101110100110001000
31120211211211221220201122111
42300011331003232212020
53041230342334031440
641423044324432104
72356161403243411
oct260057503564610
946754757821574
1012101021002120
113946017978a06
121435313548634
1369a1768b0a9b
142db99a496808
1515eb96ad94ea
hexb017d0ee988

12101021002120 has 128 divisors (see below), whose sum is σ = 28800256320000. Its totient is φ = 4568527014912.

The previous prime is 12101021002117. The next prime is 12101021002157. The reversal of 12101021002120 is 2120012010121.

It is a self number, because there is not a number n which added to its sum of digits gives 12101021002120.

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, 45063211 + ... + 45330949.

It is an arithmetic number, because the mean of its divisors is an integer number (225002002500).

Almost surely, 212101021002120 is an apocalyptic number.

12101021002120 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 12101021002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14400128160000).

12101021002120 is an abundant number, since it is smaller than the sum of its proper divisors (16699235317880).

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

12101021002120 is a wasteful number, since it uses less digits than its factorization.

12101021002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268655 (or 268651 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12101021002120 its reverse (2120012010121), we get a palindrome (14221033012241).

The spelling of 12101021002120 in words is "twelve trillion, one hundred one billion, twenty-one million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 47 58 94 116 145 188 232 235 290 376 470 580 829 940 1160 1363 1658 1880 2726 3316 4145 5452 6632 6815 8290 10904 13630 16580 24041 27260 33160 38963 48082 54520 77926 96164 120205 155852 192328 194815 240410 267739 311704 389630 480820 535478 779260 961640 1070956 1129927 1338695 1558520 2141912 2259854 2677390 4519708 5354780 5649635 7764431 9039416 10709560 11299270 12583733 15528862 22598540 25167466 31057724 38822155 45197080 50334932 62115448 62918665 77644310 100669864 125837330 155288620 221955631 251674660 310577240 364928257 443911262 503349320 729856514 887822524 1109778155 1459713028 1775645048 1824641285 2219556310 2919426056 3649282570 4439112620 6436713299 7298565140 8878225240 10431914657 12873426598 14597130280 20863829314 25746853196 32183566495 41727658628 51493706392 52159573285 64367132990 83455317256 104319146570 128734265980 208638293140 257468531960 302525525053 417276586280 605051050106 1210102100212 1512627625265 2420204200424 3025255250530 6050510501060 12101021002120