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121104604115432 = 23721733075758061
BaseRepresentation
bin11011100010010011011100…
…111010001011000111101000
3120212210111011002022002200222
4123202103130322023013220
5111333134212123143212
61105322404224345212
734336342662224600
oct3342233472130750
9525714132262628
10121104604115432
11356511a0918283
12116baa72a75208
1352761660334b2
1421c96cbbc5c00
15e0031e40dc72
hex6e24dce8b1e8

121104604115432 has 96 divisors (see below), whose sum is σ = 265684028074920. Its totient is φ = 51599395330560.

The previous prime is 121104604115431. The next prime is 121104604115447. The reversal of 121104604115432 is 234511406401121.

It can be written as a sum of positive squares in 4 ways, for example, as 107001770235556 + 14102833879876 = 10344166^2 + 3755374^2 .

It is a super-2 number, since 2×1211046041154322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121104604115392 and 121104604115401.

It is not an unprimeable number, because it can be changed into a prime (121104604115431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2085787682 + ... + 2085845742.

Almost surely, 2121104604115432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121104604115432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132842014037460).

121104604115432 is an abundant number, since it is smaller than the sum of its proper divisors (144579423959488).

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

121104604115432 is a wasteful number, since it uses less digits than its factorization.

121104604115432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89011 (or 89000 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The spelling of 121104604115432 in words is "one hundred twenty-one trillion, one hundred four billion, six hundred four million, one hundred fifteen thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 173 196 346 392 692 1211 1384 2422 4844 8477 9688 16954 30757 33908 58061 61514 67816 116122 123028 215299 232244 246056 406427 430598 464488 812854 861196 1507093 1625708 1722392 2844989 3014186 3251416 5320961 5689978 6028372 10044553 10641922 11379956 12056744 20089106 21283844 22759912 37246727 40178212 42567688 70311871 74493454 80356424 140623742 148986908 260727089 281247484 297973816 492183097 521454178 562494968 984366194 1042908356 1785782177 1968732388 2085816712 3571564354 3937464776 7143128708 12500475239 14286257416 25000950478 50001900956 87503326673 100003801912 175006653346 308940316621 350013306692 617880633242 700026613384 1235761266484 2162582216347 2471522532968 4325164432694 8650328865388 15138075514429 17300657730776 30276151028858 60552302057716 121104604115432