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121210120112100 = 223521941189516277
BaseRepresentation
bin11011100011110101101110…
…001001110000011111100100
3120220011120111200021002212120
4123203311232021300133210
5111341401311222041400
61105443054354345540
734350066525341205
oct3343655611603744
9526146450232776
10121210120112100
1135691a17953308
12117173bbb8b2b0
1352830b0567a96
1421d085b6655ac
15e02e47a27ca0
hex6e3d6e2707e4

121210120112100 has 144 divisors (see below), whose sum is σ = 369168920635200. Its totient is φ = 30620701278720.

The previous prime is 121210120112017. The next prime is 121210120112131. The reversal of 121210120112100 is 1211021012121.

It is a happy number.

121210120112100 is digitally balanced in base 3, 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121210120112100.

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, 234519162 + ... + 235035438.

Almost surely, 2121210120112100 is an apocalyptic number.

121210120112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121210120112100 is an abundant number, since it is smaller than the sum of its proper divisors (247958800523100).

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

121210120112100 is a wasteful number, since it uses less digits than its factorization.

121210120112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557502 (or 557495 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121210120112100 its reverse (1211021012121), we get a palindrome (122421141124221).

The spelling of 121210120112100 in words is "one hundred twenty-one trillion, two hundred ten billion, one hundred twenty million, one hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 41189 82378 123567 164756 205945 247134 411890 494268 516277 617835 782591 823780 1029725 1032554 1235670 1548831 1565182 2059450 2065108 2347773 2471340 2581385 3089175 3097662 3130364 3912955 4118900 4695546 5162770 6178350 6195324 7744155 7825910 9391092 9809263 10325540 11738865 12356700 12906925 15488310 15651820 19564775 19618526 23477730 25813850 29427789 30976620 38720775 39129550 39237052 46955460 49046315 51627700 58694325 58855578 77441550 78259100 98092630 117388650 117711156 147138945 154883100 196185260 234777300 245231575 294277890 490463150 588555780 735694725 980926300 1471389450 2942778900 21264933353 42529866706 63794800059 85059733412 106324666765 127589600118 212649333530 255179200236 318974000295 404033733707 425298667060 531623333825 637948000590 808067467414 1063246667650 1212101201121 1275896001180 1594870001475 1616134934828 2020168668535 2126493335300 2424202402242 3189740002950 4040337337070 4848404804484 6060506005605 6379480005900 8080674674140 10100843342675 12121012011210 20201686685350 24242024022420 30302530028025 40403373370700 60605060056050 121210120112100