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121210112201200 = 245211169316271561
BaseRepresentation
bin11011100011110101101101…
…101011100101000111110000
3120220011120111010101012011021
4123203311231223211013300
5111341401302210414300
61105443053513025224
734350066401162311
oct3343655553450760
9526146433335137
10121210112201200
1135691a1343a780
12117173b93b5214
1352830aba28089
1421d085a5a6608
15e02e46eb3d1a
hex6e3d6dae51f0

121210112201200 has 120 divisors (see below), whose sum is σ = 317868348154896. Its totient is φ = 44050367232000.

The previous prime is 121210112201197. The next prime is 121210112201201. The reversal of 121210112201200 is 2102211012121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121210112201201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 686581 + ... + 15584980.

Almost surely, 2121210112201200 is an apocalyptic number.

121210112201200 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 121210112201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158934174077448).

121210112201200 is an abundant number, since it is smaller than the sum of its proper divisors (196658235953696).

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

121210112201200 is a wasteful number, since it uses less digits than its factorization.

121210112201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16273283 (or 16273272 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121210112201200 its reverse (2102211012121), we get a palindrome (123312323213321).

The spelling of 121210112201200 in words is "one hundred twenty-one trillion, two hundred ten billion, one hundred twelve million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 1693 2200 3386 4400 6772 8465 13544 16930 18623 27088 33860 37246 42325 67720 74492 84650 93115 135440 148984 169300 186230 297968 338600 372460 465575 677200 744920 931150 1489840 1862300 3724600 7449200 16271561 32543122 65086244 81357805 130172488 162715610 178987171 260344976 325431220 357974342 406789025 650862440 715948684 813578050 894935855 1301724880 1431897368 1627156100 1789871710 2863794736 3254312200 3579743420 4474679275 6508624400 7159486840 8949358550 14318973680 17898717100 27547752773 35797434200 55095505546 71594868400 110191011092 137738763865 220382022184 275477527730 303025280503 440764044368 550955055460 606050561006 688693819325 1101910110920 1212101122012 1377387638650 1515126402515 2203820221840 2424202244024 2754775277300 3030252805030 4848404488048 5509550554600 6060505610060 7575632012575 11019101109200 12121011220120 15151264025150 24242022440240 30302528050300 60605056100600 121210112201200