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12101421420 = 223251141149069
BaseRepresentation
bin10110100010100110…
…10000100101101100
31011020100221220101100
423101103100211230
5144240430441140
65320451243100
7605612246004
oct132123204554
934210856340
1012101421420
11514aa34030
1224188a9490
1311ab1852ba
1482b29d004
154ac606530
hex2d14d096c

12101421420 has 144 divisors (see below), whose sum is σ = 41021678880. Its totient is φ = 2862105600.

The previous prime is 12101421407. The next prime is 12101421421. The reversal of 12101421420 is 2412410121.

12101421420 is a `hidden beast` number, since 1 + 210 + 14 + 21 + 420 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12101421393 and 12101421402.

It is not an unprimeable number, because it can be changed into a prime (12101421421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6646 + ... + 155714.

It is an arithmetic number, because the mean of its divisors is an integer number (284872770).

Almost surely, 212101421420 is an apocalyptic number.

12101421420 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 12101421420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20510839440).

12101421420 is an abundant number, since it is smaller than the sum of its proper divisors (28920257460).

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

12101421420 is a wasteful number, since it uses less digits than its factorization.

12101421420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149136 (or 149131 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12101421420 its reverse (2412410121), we get a palindrome (14513831541).

The spelling of 12101421420 in words is "twelve billion, one hundred one million, four hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 41 44 45 55 60 66 82 90 99 110 123 132 164 165 180 198 205 220 246 330 369 396 410 451 492 495 615 660 738 820 902 990 1230 1353 1476 1804 1845 1980 2255 2460 2706 3690 4059 4510 5412 6765 7380 8118 9020 13530 16236 20295 27060 40590 81180 149069 298138 447207 596276 745345 894414 1341621 1490690 1639759 1788828 2236035 2683242 2981380 3279518 4472070 4919277 5366484 6111829 6559036 6708105 8198795 8944140 9838554 12223658 13416210 14757831 16397590 18335487 19677108 24447316 24596385 26832420 29515662 30559145 32795180 36670974 49192770 55006461 59031324 61118290 67230119 73341948 73789155 91677435 98385540 110012922 122236580 134460238 147578310 183354870 201690357 220025844 268920476 275032305 295156620 336150595 366709740 403380714 550064610 605071071 672301190 806761428 1008451785 1100129220 1210142142 1344602380 2016903570 2420284284 3025355355 4033807140 6050710710 12101421420