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121000444001334 = 2321091627369710253
BaseRepresentation
bin11011100000110010011100…
…011110110111110000110110
3120212102112021222200001202100
4123200302130132313300312
5111324432402131020314
61105202500411522530
734325664541656552
oct3340623436676066
9525375258601670
10121000444001334
1135611000188957
12116a2843a59446
1352693a66a19a1
1421c464a452862
15dec774d72c09
hex6e0c9c7b7c36

121000444001334 has 96 divisors (see below), whose sum is σ = 264832885643040. Its totient is φ = 39924189398016.

The previous prime is 121000444001317. The next prime is 121000444001399. The reversal of 121000444001334 is 433100444000121.

121000444001334 is a `hidden beast` number, since 1 + 210 + 0 + 0 + 4 + 4 + 400 + 13 + 34 = 666.

It is a super-2 number, since 2×1210004440013342 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121000444001298 and 121000444001307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11801462152 + ... + 11801472404.

It is an arithmetic number, because the mean of its divisors is an integer number (2758675892115).

Almost surely, 2121000444001334 is an apocalyptic number.

121000444001334 is an abundant number, since it is smaller than the sum of its proper divisors (143832441641706).

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

121000444001334 is a wasteful number, since it uses less digits than its factorization.

121000444001334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15694 (or 15691 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 121000444001334 its reverse (433100444000121), we get a palindrome (554100888001455).

The spelling of 121000444001334 in words is "one hundred twenty-one trillion, four hundred forty-four million, one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 109 218 327 654 981 1627 1962 3254 3697 4881 7394 9762 10253 11091 14643 20506 22182 29286 30759 33273 61518 66546 92277 177343 184554 354686 402973 532029 805946 1064058 1117577 1208919 1596087 2235154 2417838 3192174 3352731 3626757 6015019 6705462 7253514 10058193 12030038 16681631 18045057 20116386 33363262 36090114 37905341 50044893 54135171 75810682 100089786 108270342 113716023 150134679 227432046 300269358 341148069 655637071 682296138 1311274142 1818297779 1966911213 3636595558 3933822426 4131682169 5454893337 5900733639 8263364338 10909786674 11801467278 12395046507 16364680011 24790093014 32729360022 37185139521 61671989807 74370279042 123343979614 185015969421 370031938842 555047908263 1110095816526 6722246888963 13444493777926 20166740666889 40333481333778 60500222000667 121000444001334