Search a number
-
+
121012111022000 = 24531124122823861
BaseRepresentation
bin11011100000111101010011…
…111001000001011110110000
3120212110122102002020010022212
4123200331103321001132300
5111330130300410201000
61105212110224351252
734326556631006222
oct3340752371013660
9525418362203285
10121012111022000
1135615a479901a0
12116a4b5b175528
13526a51585c603
1421c5035b54412
15decc0926cc35
hex6e0f53e417b0

121012111022000 has 160 divisors (see below), whose sum is σ = 320532475019328. Its totient is φ = 43821811200000.

The previous prime is 121012111021961. The next prime is 121012111022053. The reversal of 121012111022000 is 220111210121.

It is a super-3 number, since 3×1210121110220003 (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6109931 + ... + 16713930.

Almost surely, 2121012111022000 is an apocalyptic number.

121012111022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121012111022000 is an abundant number, since it is smaller than the sum of its proper divisors (199520363997328).

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

121012111022000 is a wasteful number, since it uses less digits than its factorization.

121012111022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22824136 (or 22824120 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121012111022000 its reverse (220111210121), we get a palindrome (121232222232121).

The spelling of 121012111022000 in words is "one hundred twenty-one trillion, twelve billion, one hundred eleven million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 241 250 275 400 440 482 500 550 880 964 1000 1100 1205 1375 1928 2000 2200 2410 2651 2750 3856 4400 4820 5302 5500 6025 9640 10604 11000 12050 13255 19280 21208 22000 24100 26510 30125 42416 48200 53020 60250 66275 96400 106040 120500 132550 212080 241000 265100 331375 482000 530200 662750 1060400 1325500 2651000 5302000 22823861 45647722 91295444 114119305 182590888 228238610 251062471 365181776 456477220 502124942 570596525 912954440 1004249884 1141193050 1255312355 1825908880 2008499768 2282386100 2510624710 2852982625 4016999536 4564772200 5021249420 5500550501 5705965250 6276561775 9129544400 10042498840 11001101002 11411930500 12553123550 20084997680 22002202004 22823861000 25106247100 27502752505 31382808875 44004404008 45647722000 50212494200 55005505010 60506055511 62765617750 88008808016 100424988400 110011010020 121012111022 125531235500 137513762525 220022020040 242024222044 251062471000 275027525050 302530277555 440044040080 484048444088 502124942000 550055050100 605060555110 687568812625 968096888176 1100110100200 1210121110220 1375137625250 1512651387775 2200220200400 2420242220440 2750275250500 3025302775550 4840484440880 5500550501000 6050605551100 7563256938875 11001101002000 12101211102200 15126513877750 24202422204400 30253027755500 60506055511000 121012111022000