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121220302001004 = 22355572137104773
BaseRepresentation
bin11011100011111111001101…
…000010100101001101101100
3120220012112210021021122200000
4123203333031002211031230
5111342033134303013004
61105451500555504300
734350610042066413
oct3343771502451554
9526175707248600
10121220302001004
1135696272300128
1211719381a58090
135284043b3ab0b
1421d1145a1447a
15e03341863c39
hex6e3fcd0a536c

121220302001004 has 144 divisors (see below), whose sum is σ = 318489301192608. Its totient is φ = 40314964750848.

The previous prime is 121220302000951. The next prime is 121220302001017. The reversal of 121220302001004 is 400100203022121.

It is a happy number.

It is a super-2 number, since 2×1212203020010042 (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1156927962 + ... + 1157032734.

It is an arithmetic number, because the mean of its divisors is an integer number (2211731258282).

Almost surely, 2121220302001004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121220302001004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159244650596304).

121220302001004 is an abundant number, since it is smaller than the sum of its proper divisors (197268999191604).

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

121220302001004 is a wasteful number, since it uses less digits than its factorization.

121220302001004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107486 (or 107472 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 121220302001004 its reverse (400100203022121), we get a palindrome (521320505023125).

The spelling of 121220302001004 in words is "one hundred twenty-one trillion, two hundred twenty billion, three hundred two million, one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 557 972 1114 1671 2137 2228 3342 4274 5013 6411 6684 8548 10026 12822 15039 19233 20052 25644 30078 38466 45117 57699 60156 76932 90234 104773 115398 135351 173097 180468 209546 230796 270702 314319 346194 419092 519291 541404 628638 692388 942957 1038582 1190309 1257276 1885914 2077164 2380618 2828871 3570927 3771828 4761236 5657742 7141854 8486613 10712781 11315484 14283708 16973226 21425562 25459839 32138343 33946452 42851124 50919678 58358561 64276686 96415029 101839356 116717122 128553372 175075683 192830058 223899901 233434244 289245087 350151366 385660116 447799802 525227049 578490174 671699703 700302732 895599604 1050454098 1156980348 1343399406 1575681147 2015099109 2100908196 2686798812 3151362294 4030198218 4727043441 6045297327 6302724588 8060396436 9454086882 12090594654 14181130323 18135891981 18908173764 24181189308 28362260646 36271783962 54407675943 56724521292 72543567924 108815351886 124712244857 217630703772 249424489714 374136734571 498848979428 748273469142 1122410203713 1496546938284 2244820407426 3367230611139 4489640814852 6734461222278 10101691833417 13468922444556 20203383666834 30305075500251 40406767333668 60610151000502 121220302001004