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121001112112002 = 23711314219915197
BaseRepresentation
bin11011100000110011000100…
…010011100000101110000010
3120212102121000112211121021220
4123200303010103200232002
5111324440234200041002
61105203050555455510
734326020233553223
oct3340630423405602
9525377015747256
10121001112112002
1135611313327331
12116a29ab757596
135269481c27145
1421c46b108924a
15dec7b38467bc
hex6e0cc44e0b82

121001112112002 has 128 divisors (see below), whose sum is σ = 248169309290496. Its totient is φ = 39321041760000.

The previous prime is 121001112111991. The next prime is 121001112112021. The reversal of 121001112112002 is 200211211100121.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23282874468 + ... + 23282879664.

It is an arithmetic number, because the mean of its divisors is an integer number (1938822728832).

Almost surely, 2121001112112002 is an apocalyptic number.

121001112112002 is an abundant number, since it is smaller than the sum of its proper divisors (127168197178494).

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

121001112112002 is a wasteful number, since it uses less digits than its factorization.

121001112112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6816.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121001112112002 its reverse (200211211100121), we get a palindrome (321212323212123).

The spelling of 121001112112002 in words is "one hundred twenty-one trillion, one billion, one hundred twelve million, one hundred twelve thousand, two".

Divisors: 1 2 3 6 71 131 142 213 262 393 421 426 786 842 991 1263 1982 2526 2973 5197 5946 9301 10394 15591 18602 27903 29891 31182 55151 55806 59782 70361 89673 110302 129821 140722 165453 179346 211083 259642 330906 368987 389463 417211 422166 680807 737974 778926 834422 1106961 1251633 1361614 2042421 2187937 2213922 2503266 3915721 4084842 4375874 5150227 6563811 7831442 9217291 10300454 11747163 13127622 15450681 18434582 23494326 27651873 29621981 30901362 48337297 54654641 55303746 59243962 88865943 96674594 109309282 145011891 155343527 163963923 177731886 286619747 290023782 310687054 327927846 365666117 466030581 573239494 674679737 731332234 859859241 932061162 1096998351 1349359474 1719718482 2024039211 2168245567 2193996702 3880479511 4048078422 4336491134 6504736701 7760959022 11641438533 13009473402 20350002037 23282877066 40700004074 47902261327 61050006111 95804522654 122100012222 143706783981 153945435257 284040169277 287413567962 307890870514 461836305771 568080338554 852120507831 923672611542 1704241015662 20166852018667 40333704037334 60500556056001 121001112112002