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12101211123030 = 2325315623771359
BaseRepresentation
bin1011000000011000100001…
…1000111110110101010110
31120211212100012122212111200
42300012020120332311112
53041231240021414110
641423115235413330
72356166202243651
oct260061030766526
946755305585450
1012101211123030
113946105223627
121435367154246
1369a1a70b9573
142db9b7826898
1515eba86416c0
hexb018863ed56

12101211123030 has 96 divisors (see below), whose sum is σ = 32483907256320. Its totient is φ = 3122333766720.

The previous prime is 12101211123019. The next prime is 12101211123047. The reversal of 12101211123030 is 3032111210121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12101211122994 and 12101211123012.

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, 15302491 + ... + 16073849.

It is an arithmetic number, because the mean of its divisors is an integer number (338374033920).

Almost surely, 212101211123030 is an apocalyptic number.

12101211123030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12101211123030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16241953628160).

12101211123030 is an abundant number, since it is smaller than the sum of its proper divisors (20382696133290).

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

12101211123030 is a wasteful number, since it uses less digits than its factorization.

12101211123030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777026 (or 777023 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12101211123030 its reverse (3032111210121), we get a palindrome (15133322333151).

The spelling of 12101211123030 in words is "twelve trillion, one hundred one billion, two hundred eleven million, one hundred twenty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 5623 11246 16869 28115 33738 50607 56230 84345 101214 168690 174313 253035 348626 506070 522939 771359 871565 1045878 1542718 1568817 1743130 2314077 2614695 3137634 3856795 4628154 5229390 6942231 7713590 7844085 11570385 13884462 15688170 23140770 23912129 34711155 47824258 69422310 71736387 119560645 143472774 215209161 239121290 358681935 430418322 717363870 1076045805 2152091610 4337351657 8674703314 13012054971 21686758285 26024109942 39036164913 43373516570 65060274855 78072329826 130120549710 134457901367 195180824565 268915802734 390361649130 403373704101 672289506835 806747408202 1210121112303 1344579013670 2016868520505 2420242224606 4033737041010 6050605561515 12101211123030