Search a number
-
+
121002222012102 = 2361572224723761
BaseRepresentation
bin11011100000110100000110…
…011101011100011011000110
3120212102200212220022101000000
4123200310012131130123012
5111330000022313341402
61105203353044502130
734326056601551454
oct3340640635343306
9525380786271000
10121002222012102
1135611832893742
12116a305b3aa946
1352695cab63072
1421c47786439d4
15dec82aed5c1c
hex6e0d0675c6c6

121002222012102 has 112 divisors (see below), whose sum is σ = 273887663440032. Its totient is φ = 40073681007360.

The previous prime is 121002222012079. The next prime is 121002222012107. The reversal of 121002222012102 is 201210222200121.

It is a happy number.

121002222012102 is a `hidden beast` number, since 1 + 210 + 0 + 22 + 220 + 1 + 210 + 2 = 666.

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 (121002222012107) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 5092459902 + ... + 5092483662.

Almost surely, 2121002222012102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121002222012102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136943831720016).

121002222012102 is an abundant number, since it is smaller than the sum of its proper divisors (152885441427930).

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

121002222012102 is a wasteful number, since it uses less digits than its factorization.

121002222012102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46185 (or 46170 counting only the distinct ones).

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

Adding to 121002222012102 its reverse (201210222200121), we get a palindrome (322212444212223).

The spelling of 121002222012102 in words is "one hundred twenty-one trillion, two billion, two hundred twenty-two million, twelve thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 157 162 243 314 471 486 729 942 1413 1458 2826 4239 8478 12717 22247 23761 25434 38151 44494 47522 66741 71283 76302 114453 133482 142566 200223 213849 228906 400446 427698 600669 641547 1201338 1283094 1802007 1924641 3492779 3604014 3730477 3849282 5406021 5773923 6985558 7460954 10478337 10812042 11191431 11547846 16218063 17321769 20956674 22382862 31435011 32436126 33574293 34643538 62870022 67148586 94305033 100722879 188610066 201445758 282915099 302168637 528610967 565830198 604337274 848745297 906505911 1057221934 1585832901 1697490594 1813011822 2546235891 2719517733 3171665802 4757498703 5092471782 5439035466 9514997406 14272496109 28544992218 42817488327 82991921819 85634976654 128452464981 165983843638 248975765457 256904929962 385357394943 497951530914 746927296371 770714789886 1493854592742 2240781889113 4481563778226 6722345667339 13444691334678 20167037002017 40334074004034 60501111006051 121002222012102