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12114202434024 = 2331229933743987
BaseRepresentation
bin1011000001001000111010…
…1110111001100111101000
31120220002212121002211220010
42300102032232321213220
53041434341310342044
641433104320331520
72360136141462135
oct260221656714750
946802777084803
1012114202434024
113950671503889
121437991a73ba0
1369b497738332
142dc48ad6d58c
151601b8e28bb9
hexb048ebb99e8

12114202434024 has 64 divisors (see below), whose sum is σ = 30314083867200. Its totient is φ = 4034257979904.

The previous prime is 12114202433989. The next prime is 12114202434031. The reversal of 12114202434024 is 42043420241121.

12114202434024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×121142024340243 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 12114202433982 and 12114202434000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275382159 + ... + 275426145.

It is an arithmetic number, because the mean of its divisors is an integer number (473657560425).

Almost surely, 212114202434024 is an apocalyptic number.

It is an amenable number.

12114202434024 is an abundant number, since it is smaller than the sum of its proper divisors (18199881433176).

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

12114202434024 is a wasteful number, since it uses less digits than its factorization.

12114202434024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54562 (or 54558 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 12114202434024 its reverse (42043420241121), we get a palindrome (54157622675145).

The spelling of 12114202434024 in words is "twelve trillion, one hundred fourteen billion, two hundred two million, four hundred thirty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 1229 2458 3687 4916 7374 9337 9832 14748 18674 28011 29496 37348 43987 56022 74696 87974 112044 131961 175948 224088 263922 351896 527844 1055688 11475173 22950346 34425519 45900692 54060023 68851038 91801384 108120046 137702076 162180069 216240092 275404152 324360138 410706619 432480184 648720276 821413238 1232119857 1297440552 1642826476 2464239714 3285652952 4928479428 9856958856 504758434751 1009516869502 1514275304253 2019033739004 3028550608506 4038067478008 6057101217012 12114202434024