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121012001330202 = 23237972118877691
BaseRepresentation
bin11011100000111101001101…
…010110100101010000011010
3120212110122010102211012110200
4123200331031112211100122
5111330130034320031302
61105212051305323030
734326554126440113
oct3340751526452032
9525418112735420
10121012001330202
11356159a0a7a114
12116a4b2a496476
13526a4c8c04618
1421c502535d20a
15decbee80181c
hex6e0f4d5a541a

121012001330202 has 96 divisors (see below), whose sum is σ = 273344420766144. Its totient is φ = 38658433766400.

The previous prime is 121012001330183. The next prime is 121012001330219. The reversal of 121012001330202 is 202033100210121.

121012001330202 is a `hidden beast` number, since 1 + 2 + 10 + 120 + 0 + 1 + 330 + 202 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9192177 + ... + 18069867.

It is an arithmetic number, because the mean of its divisors is an integer number (2847337716314).

Almost surely, 2121012001330202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121012001330202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136672210383072).

121012001330202 is an abundant number, since it is smaller than the sum of its proper divisors (152332419435942).

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

121012001330202 is a wasteful number, since it uses less digits than its factorization.

121012001330202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8878044 (or 8878041 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121012001330202 its reverse (202033100210121), we get a palindrome (323045101540323).

The spelling of 121012001330202 in words is "one hundred twenty-one trillion, twelve billion, one million, three hundred thirty thousand, two hundred two".

Divisors: 1 2 3 6 9 18 37 74 97 111 194 211 222 291 333 422 582 633 666 873 1266 1746 1899 3589 3798 7178 7807 10767 15614 20467 21534 23421 32301 40934 46842 61401 64602 70263 122802 140526 184203 368406 757279 1514558 2271837 4543674 6815511 8877691 13631022 17755382 26633073 53266146 79899219 159798438 328474567 656949134 861136027 985423701 1722272054 1873192801 1970847402 2583408081 2956271103 3746385602 5166816162 5619578403 5912542206 7750224243 11239156806 15500448486 16858735209 31862032999 33717470418 63724065998 69308133637 95586098997 138616267274 181699701697 191172197994 207924400911 286758296991 363399403394 415848801822 545099105091 573516593982 623773202733 1090198210182 1247546405466 1635297315273 3270594630546 6722888962789 13445777925578 20168666888367 40337333776734 60506000665101 121012001330202