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121121020210120 = 23573711691218167
BaseRepresentation
bin11011100010100010101111…
…011000100110101111001000
3120212212001112011002010002221
4123202202233120212233020
5111333421322133210440
61105334121210303424
734340463535562140
oct3342425730465710
9525761464063087
10121121020210120
1135658155321187
1211702094727b74
1352778810749a8
1421ca40810b920
15e009806e6d4a
hex6e28af626bc8

121121020210120 has 64 divisors (see below), whose sum is σ = 319871729076480. Its totient is φ = 40404849981696.

The previous prime is 121121020210103. The next prime is 121121020210147. The reversal of 121121020210120 is 21012020121121.

121121020210120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 121121020210094 and 121121020210103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5845598724 + ... + 5845619443.

It is an arithmetic number, because the mean of its divisors is an integer number (4997995766820).

Almost surely, 2121121020210120 is an apocalyptic number.

121121020210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121121020210120 is an abundant number, since it is smaller than the sum of its proper divisors (198750708866360).

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

121121020210120 is a wasteful number, since it uses less digits than its factorization.

121121020210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11691218222 (or 11691218218 counting only the distinct ones).

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

Adding to 121121020210120 its reverse (21012020121121), we get a palindrome (142133040331241).

The spelling of 121121020210120 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, twenty million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 185 259 280 296 370 518 740 1036 1295 1480 2072 2590 5180 10360 11691218167 23382436334 46764872668 58456090835 81838527169 93529745336 116912181670 163677054338 233824363340 327354108676 409192635845 432575072179 467648726680 654708217352 818385271690 865150144358 1636770543380 1730300288716 2162875360895 3028025505253 3273541086760 3460600577432 4325750721790 6056051010506 8651501443580 12112102021012 15140127526265 17303002887160 24224204042024 30280255052530 60560510105060 121121020210120