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12204310144032 = 253385391654217
BaseRepresentation
bin1011000110011000100110…
…0100100010010000100000
31121012201110100122210101000
42301212021210202100200
53044423411344102112
641542325505312000
72366506116412056
oct261461144422040
947181410583330
1012204310144032
113985900a02006
12145133a935600
136a6b27970536
143029982a81d6
151626de97e7dc
hexb1989922420

12204310144032 has 96 divisors (see below), whose sum is σ = 35600094734400. Its totient is φ = 4067624507904.

The previous prime is 12204310144027. The next prime is 12204310144057. The reversal of 12204310144032 is 23044101340221.

12204310144032 is a `hidden beast` number, since 1 + 2 + 204 + 3 + 10 + 1 + 440 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12204310143987 and 12204310144005.

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, 6550588 + ... + 8204804.

It is an arithmetic number, because the mean of its divisors is an integer number (370834320150).

Almost surely, 212204310144032 is an apocalyptic number.

12204310144032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12204310144032 is an abundant number, since it is smaller than the sum of its proper divisors (23395784590368).

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

12204310144032 is a wasteful number, since it uses less digits than its factorization.

12204310144032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662775 (or 1662761 counting only the distinct ones).

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

Adding to 12204310144032 its reverse (23044101340221), we get a palindrome (35248411484253).

The spelling of 12204310144032 in words is "twelve trillion, two hundred four billion, three hundred ten million, one hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 8539 17078 25617 34156 51234 68312 76851 102468 136624 153702 204936 230553 273248 307404 409872 461106 614808 819744 922212 1229616 1654217 1844424 2459232 3308434 3688848 4962651 6616868 7377696 9925302 13233736 14887953 19850604 26467472 29775906 39701208 44663859 52934944 59551812 79402416 89327718 119103624 158804832 178655436 238207248 357310872 476414496 714621744 1429243488 14125358963 28250717926 42376076889 56501435852 84752153778 113002871704 127128230667 169504307556 226005743408 254256461334 339008615112 381384692001 452011486816 508512922668 678017230224 762769384002 1017025845336 1356034460448 1525538768004 2034051690672 3051077536008 4068103381344 6102155072016 12204310144032