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121031642256 = 243717205310321
BaseRepresentation
bin111000010111000001…
…1000100110010010000
3102120101220101110121220
41300232003010302100
53440333100023011
6131333504045040
711513163661530
oct1605603046220
9376356343556
10121031642256
1147369230228
121b559303780
13b54ab52b85
145c0236d4c0
153235837506
hex1c2e0c4c90

121031642256 has 160 divisors (see below), whose sum is σ = 378571984128. Its totient is φ = 32527319040.

The previous prime is 121031642209. The next prime is 121031642267. The reversal of 121031642256 is 652246130121.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11721576 + ... + 11731896.

Almost surely, 2121031642256 is an apocalyptic number.

121031642256 is a gapful number since it is divisible by the number (16) 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 121031642256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189285992064).

121031642256 is an abundant number, since it is smaller than the sum of its proper divisors (257540341872).

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

121031642256 is a wasteful number, since it uses less digits than its factorization.

121031642256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12409 (or 12403 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 121031642256 its reverse (652246130121), we get a palindrome (773277772377).

The spelling of 121031642256 in words is "one hundred twenty-one billion, thirty-one million, six hundred forty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 952 1428 1904 2053 2856 4106 5712 6159 8212 10321 12318 14371 16424 20642 24636 28742 30963 32848 34901 41284 43113 49272 57484 61926 69802 72247 82568 86226 98544 104703 114968 123852 139604 144494 165136 172452 175457 209406 216741 229936 244307 247704 279208 288988 344904 350914 418812 433482 488614 495408 526371 558416 577976 689808 701828 732921 837624 866964 977228 1052742 1155952 1228199 1403656 1465842 1675248 1733928 1954456 2105484 2456398 2807312 2931684 3467856 3684597 3908912 4210968 4912796 5863368 7369194 8421936 9825592 11726736 14738388 19651184 21189013 29476776 42378026 58953552 63567039 84756052 127134078 148323091 169512104 254268156 296646182 339024208 360213221 444969273 508536312 593292364 720426442 889938546 1017072624 1080639663 1186584728 1440852884 1779877092 2161279326 2373169456 2521492547 2881705768 3559754184 4322558652 5042985094 5763411536 7119508368 7564477641 8645117304 10085970188 15128955282 17290234608 20171940376 30257910564 40343880752 60515821128 121031642256