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121021211012112 = 24328331813183151
BaseRepresentation
bin11011100001000101110010…
…010010101110110000010000
3120212111111220021110111222200
4123201011302102232300100
5111330302420004341422
61105220213221003200
734330331266441515
oct3341056222566020
9525444807414880
10121021211012112
1135619897666484
12116a687a853500
13526b335c4ba48
1421c565a55730c
15ded08d0eb2ac
hex6e11724aec10

121021211012112 has 120 divisors (see below), whose sum is σ = 342879787705728. Its totient is φ = 39841833312000.

The previous prime is 121021211012099. The next prime is 121021211012159. The reversal of 121021211012112 is 211210112120121.

It is a happy number.

121021211012112 is a `hidden beast` number, since 1 + 210 + 212 + 110 + 121 + 12 = 666.

It is a super-2 number, since 2×1210212110121122 (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 23 ways as a sum of consecutive naturals, for example, 36427737 + ... + 39610887.

Almost surely, 2121021211012112 is an apocalyptic number.

121021211012112 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 121021211012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171439893852864).

121021211012112 is an abundant number, since it is smaller than the sum of its proper divisors (221858576693616).

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

121021211012112 is a wasteful number, since it uses less digits than its factorization.

121021211012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3186429 (or 3186420 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 121021211012112 its reverse (211210112120121), we get a palindrome (332231323132233).

The spelling of 121021211012112 in words is "one hundred twenty-one trillion, twenty-one billion, two hundred eleven million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 249 332 498 664 747 996 1328 1494 1992 2988 3181 3984 5976 6362 9543 11952 12724 19086 25448 28629 38172 50896 57258 76344 114516 152688 229032 264023 458064 528046 792069 1056092 1584138 2112184 2376207 3168276 3183151 4224368 4752414 6336552 6366302 9504828 9549453 12673104 12732604 19009656 19098906 25465208 28648359 38019312 38197812 50930416 57296718 76395624 114593436 152791248 229186872 264201533 458373744 528403066 792604599 1056806132 1585209198 2113612264 2377813797 3170418396 4227224528 4755627594 6340836792 9511255188 10125603331 12681673584 19022510376 20251206662 30376809993 38045020752 40502413324 60753619986 81004826648 91130429979 121507239972 162009653296 182260859958 243014479944 364521719916 486028959888 729043439832 840425076473 1458086879664 1680850152946 2521275229419 3361700305892 5042550458838 6723400611784 7563825688257 10085100917676 13446801223568 15127651376514 20170201835352 30255302753028 40340403670704 60510605506056 121021211012112