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120202010221212 = 223223538930776237
BaseRepresentation
bin11011010101001010110110…
…000111101101101010011100
3120202121012101202122112112100
4123111022312013231222130
5111223342204104034322
61103352012521005100
734214210603553333
oct3325126607555234
9522535352575470
10120202010221212
1135333428123357
1211593b56023790
13520c00206164a
142197b4610ad1a
15dd6ae430adac
hex6d52b61eda9c

120202010221212 has 144 divisors (see below), whose sum is σ = 326666376429120. Its totient is φ = 37179662767104.

The previous prime is 120202010221193. The next prime is 120202010221231. The reversal of 120202010221212 is 212122010202021.

It is a happy number.

120202010221212 is a `hidden beast` number, since 1 + 20 + 202 + 0 + 10 + 221 + 212 = 666.

It is an interprime number because it is at equal distance from previous prime (120202010221193) and next prime (120202010221231).

It is a super-2 number, since 2×1202020102212122 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11482443 + ... + 19293794.

It is an arithmetic number, because the mean of its divisors is an integer number (2268516502980).

Almost surely, 2120202010221212 is an apocalyptic number.

120202010221212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120202010221212 is an abundant number, since it is smaller than the sum of its proper divisors (206464366207908).

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

120202010221212 is a wasteful number, since it uses less digits than its factorization.

120202010221212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30776412 (or 30776407 counting only the distinct ones).

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

Adding to 120202010221212 its reverse (212122010202021), we get a palindrome (332324020423233).

The spelling of 120202010221212 in words is "one hundred twenty trillion, two hundred two billion, ten million, two hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 53 69 89 92 106 138 159 178 207 212 267 276 318 356 414 477 534 636 801 828 954 1068 1219 1602 1908 2047 2438 3204 3657 4094 4717 4876 6141 7314 8188 9434 10971 12282 14151 14628 18423 18868 21942 24564 28302 36846 42453 43884 56604 73692 84906 108491 169812 216982 325473 433964 650946 976419 1301892 1952838 3905676 30776237 61552474 92328711 123104948 184657422 276986133 369314844 553972266 707853451 1107944532 1415706902 1631140561 2123560353 2739085093 2831413804 3262281122 4247120706 4893421683 5478170186 6370681059 6524562244 8217255279 8494241412 9786843366 10956340372 12741362118 14680265049 16434510558 19573686732 24651765837 25482724236 29360530098 32869021116 37516232903 49303531674 58721060196 62998957139 75032465806 98607063348 112548698709 125997914278 145171509929 150064931612 188996871417 225097397418 251995828556 290343019858 337646096127 377993742834 435514529787 450194794836 566990614251 580686039716 675292192254 755987485668 871029059574 1133981228502 1306543589361 1350584384508 1742058119148 2267962457004 2613087178722 3338944728367 5226174357444 6677889456734 10016834185101 13355778913468 20033668370202 30050502555303 40067336740404 60101005110606 120202010221212