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12100201021020 = 2235725495974887
BaseRepresentation
bin1011000000010100110000…
…1011101111111001011100
31120211202201210222101001010
42300011030023233321130
53041222202430133040
641422431113415220
72356132155440100
oct260051413577134
946752653871033
1012100201021020
11394573702aa82
121435124a0a510
1369a075a53278
142db91d609900
1515eb49b16e80
hexb014c2efe5c

12100201021020 has 144 divisors (see below), whose sum is σ = 39413326740480. Its totient is φ = 2765672977536.

The previous prime is 12100201021009. The next prime is 12100201021049. The reversal of 12100201021020 is 2012010200121.

12100201021020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12100201020987 and 12100201021005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161542017 + ... + 161616903.

It is an arithmetic number, because the mean of its divisors is an integer number (273703657920).

Almost surely, 212100201021020 is an apocalyptic number.

12100201021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100201021020 is an abundant number, since it is smaller than the sum of its proper divisors (27313125719460).

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

12100201021020 is a wasteful number, since it uses less digits than its factorization.

12100201021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129872 (or 129863 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12100201021020 its reverse (2012010200121), we get a palindrome (14112211221141).

The spelling of 12100201021020 in words is "twelve trillion, one hundred billion, two hundred one million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 54959 74887 109918 149774 164877 219836 224661 274795 299548 329754 374435 384713 449322 524209 549590 659508 748870 769426 824385 898644 1048418 1099180 1123305 1154139 1497740 1538852 1572627 1648770 1923565 2096836 2246610 2308278 2621045 2692991 3145254 3297540 3669463 3847130 4493220 4616556 5242090 5385982 5770695 6290508 7338926 7694260 7863135 8078973 10484180 10771964 11008389 11541390 13464955 14677852 15726270 16157946 18347315 22016778 23082780 26929910 31452540 32315892 36694630 40394865 44033556 53859820 55041945 73389260 80789730 110083890 161579460 220167780 4115714633 8231429266 12347143899 16462858532 20578573165 24694287798 28810002431 41157146330 49388575596 57620004862 61735719495 82314292660 86430007293 115240009724 123471438990 144050012155 172860014586 201670017017 246942877980 288100024310 345720029172 403340034034 432150036465 576200048620 605010051051 806680068068 864300072930 1008350085085 1210020102102 1728600145860 2016700170170 2420040204204 3025050255255 4033400340340 6050100510510 12100201021020