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121212011232 = 25321367483209
BaseRepresentation
bin111000011100011001…
…1001000001011100000
3102120212110210011100100
41300320303020023200
53441220233324412
6131403430022400
711520514044564
oct1607063101340
9376773704310
10121212011232
11474510250a4
121b5a97a7a00
13b579325990
145c1c2c16a4
1532465b4edc
hex1c38cc82e0

121212011232 has 144 divisors (see below), whose sum is σ = 376753038480. Its totient is φ = 36739270656.

The previous prime is 121212011231. The next prime is 121212011243. The reversal of 121212011232 is 232110212121.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121212011231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9244 + ... + 492452.

It is an arithmetic number, because the mean of its divisors is an integer number (2616340545).

Almost surely, 2121212011232 is an apocalyptic number.

121212011232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121212011232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188376519240).

121212011232 is an abundant number, since it is smaller than the sum of its proper divisors (255541027248).

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

121212011232 is a wasteful number, since it uses less digits than its factorization.

121212011232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483305 (or 483294 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 121212011232 its reverse (232110212121), we get a palindrome (353322223353).

The spelling of 121212011232 in words is "one hundred twenty-one billion, two hundred twelve million, eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 67 72 78 96 104 117 134 144 156 201 208 234 268 288 312 402 416 468 536 603 624 804 871 936 1072 1206 1248 1608 1742 1872 2144 2412 2613 3216 3484 3744 4824 5226 6432 6968 7839 9648 10452 13936 15678 19296 20904 27872 31356 41808 62712 83616 125424 250848 483209 966418 1449627 1932836 2899254 3865672 4348881 5798508 6281717 7731344 8697762 11597016 12563434 15462688 17395524 18845151 23194032 25126868 32375003 34791048 37690302 46388064 50253736 56535453 64750006 69582096 75380604 97125009 100507472 113070906 129500012 139164192 150761208 194250018 201014944 226141812 259000024 291375027 301522416 388500036 420875039 452283624 518000048 582750054 603044832 777000072 841750078 904567248 1036000096 1165500108 1262625117 1554000144 1683500156 1809134496 2331000216 2525250234 3108000288 3367000312 3787875351 4662000432 5050500468 6734000624 7575750702 9324000864 10101000936 13468001248 15151501404 20202001872 30303002808 40404003744 60606005616 121212011232