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12121144063416 = 2333112349970087
BaseRepresentation
bin1011000001100010110001…
…1111000111010110111000
31120220202210101000011021000
42300120230133013112320
53042043100340012131
641440213211445000
72360503151401533
oct260305437072670
946822711004230
1012121144063416
11395360390a783
1214391aa756760
1369c032914b4b
142dc948c53a1a
15160473562ce6
hexb062c7c75b8

12121144063416 has 64 divisors (see below), whose sum is σ = 33699827347200. Its totient is φ = 4036783427424.

The previous prime is 12121144063409. The next prime is 12121144063453. The reversal of 12121144063416 is 61436044112121.

12121144063416 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 1 + 1 + 4 + 4 + 0 + 634 + 16 = 666.

12121144063416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 24742476 + ... + 25227611.

It is an arithmetic number, because the mean of its divisors is an integer number (526559802300).

Almost surely, 212121144063416 is an apocalyptic number.

It is an amenable number.

12121144063416 is an abundant number, since it is smaller than the sum of its proper divisors (21578683283784).

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

12121144063416 is a wasteful number, since it uses less digits than its factorization.

12121144063416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49971225 (or 49971215 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 12121144063416 its reverse (61436044112121), we get a palindrome (73557188175537).

The spelling of 12121144063416 in words is "twelve trillion, one hundred twenty-one billion, one hundred forty-four million, sixty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1123 2246 3369 4492 6738 8984 10107 13476 20214 26952 30321 40428 60642 80856 121284 242568 49970087 99940174 149910261 199880348 299820522 399760696 449730783 599641044 899461566 1199282088 1349192349 1798923132 2698384698 3597846264 5396769396 10793538792 56116407701 112232815402 168349223103 224465630804 336698446206 448931261608 505047669309 673396892412 1010095338618 1346793784824 1515143007927 2020190677236 3030286015854 4040381354472 6060572031708 12121144063416