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121321101130020 = 2232511311976557529
BaseRepresentation
bin11011100101011101000101…
…001000101111100100100100
3120220120011222010121221211200
4123211131011020233210210
5111400211103342130040
61110010051111002500
734361105661413211
oct3345350510574444
9526504863557750
10121321101130020
1135724a98831730
1211734a13369430
1352906b9086b5c
1421d5d88c54b08
15e05c90d02630
hex6e574522f924

121321101130020 has 144 divisors (see below), whose sum is σ = 414412957969920. Its totient is φ = 28462428403200.

The previous prime is 121321101129929. The next prime is 121321101130057. The reversal of 121321101130020 is 20031101123121.

121321101130020 is a `hidden beast` number, since 1 + 2 + 1 + 321 + 10 + 11 + 300 + 20 = 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 = 121321101129975 and 121321101130002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 988217385 + ... + 988340144.

It is an arithmetic number, because the mean of its divisors is an integer number (2877867763680).

Almost surely, 2121321101130020 is an apocalyptic number.

121321101130020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121321101130020 is an abundant number, since it is smaller than the sum of its proper divisors (293091856839900).

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

121321101130020 is a wasteful number, since it uses less digits than its factorization.

121321101130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976557586 (or 1976557581 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 121321101130020 its reverse (20031101123121), we get a palindrome (141352202253141).

The spelling of 121321101130020 in words is "one hundred twenty-one trillion, three hundred twenty-one billion, one hundred one million, one hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 31 33 36 44 45 55 60 62 66 90 93 99 110 124 132 155 165 180 186 198 220 279 310 330 341 372 396 465 495 558 620 660 682 930 990 1023 1116 1364 1395 1705 1860 1980 2046 2790 3069 3410 4092 5115 5580 6138 6820 10230 12276 15345 20460 30690 61380 1976557529 3953115058 5929672587 7906230116 9882787645 11859345174 17789017761 19765575290 21742132819 23718690348 29648362935 35578035522 39531150580 43484265638 59296725870 61273283399 65226398457 71156071044 86968531276 88945088805 108710664095 118593451740 122546566798 130452796914 177890177610 183819850197 195679195371 217421328190 245093133596 260905593828 306366416995 326131992285 355780355220 367639700394 391358390742 434842656380 551459550591 612732833990 652263984570 674006117389 735279400788 782716781484 919099250985 978395976855 1102919101182 1225465667980 1304527969140 1348012234778 1838198501970 1956791953710 2022018352167 2205838202364 2696024469556 2757297752955 3370030586945 3676397003940 3913583907420 4044036704334 5514595505910 6066055056501 6740061173890 8088073408668 10110091760835 11029191011820 12132110113002 13480122347780 20220183521670 24264220226004 30330275282505 40440367043340 60660550565010 121321101130020