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121122021002220 = 22345710680954233
BaseRepresentation
bin11011100010100011101011…
…000010010100101111101100
3120212212011002220020121210000
4123202203223002110233230
5111333430344334032340
61105334404400544300
734340530410302310
oct3342435302245754
9525764086217700
10121122021002220
1135658619236097
1211702313922090
1352779b04cb574
1421ca4a0dc3b40
15e009dd4d2d30
hex6e28eb094bec

121122021002220 has 120 divisors (see below), whose sum is σ = 434244875337504. Its totient is φ = 27685033369344.

The previous prime is 121122021002219. The next prime is 121122021002261. The reversal of 121122021002220 is 22200120221121.

It is a happy number.

121122021002220 is a `hidden beast` number, since 1 + 2 + 11 + 220 + 210 + 0 + 2 + 220 = 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 = 121122021002193 and 121122021002202.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5340465777 + ... + 5340488456.

Almost surely, 2121122021002220 is an apocalyptic number.

121122021002220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121122021002220 is an abundant number, since it is smaller than the sum of its proper divisors (313122854335284).

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

121122021002220 is a wasteful number, since it uses less digits than its factorization.

121122021002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10680954261 (or 10680954250 counting only the distinct ones).

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

Adding to 121122021002220 its reverse (22200120221121), we get a palindrome (143322141223341).

The spelling of 121122021002220 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, twenty-one million, two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 11340 10680954233 21361908466 32042862699 42723816932 53404771165 64085725398 74766679631 96128588097 106809542330 128171450796 149533359262 160214313495 192257176194 213619084660 224300038893 288385764291 299066718524 320428626990 373833398155 384514352388 448600077786 480642940485 576771528582 640857253980 672900116679 747666796310 865157292873 897200155572 961285880970 1121500194465 1153543057164 1345800233358 1441928821455 1495333592620 1730314585746 1922571761940 2018700350037 2243000388930 2691600466716 2883857642910 3364500583395 3460629171492 4037400700074 4325786464365 4486000777860 5767715285820 6056101050111 6729001166790 8074801400148 8651572928730 10093501750185 12112202100222 13458002333580 17303145857460 20187003500370 24224404200444 30280505250555 40374007000740 60561010501110 121122021002220