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12202001320032 = 253329486989197
BaseRepresentation
bin1011000110001111111111…
…1101000100100001100000
31121012111111110012101021000
42301203333331010201200
53044404144314220112
641541304431232000
72366364652626546
oct261437775044140
947174443171230
1012202001320032
1139849267043a7
1214509b5678600
136a684a528ba4
143028197bdd96
15162606e187dc
hexb18fff44860

12202001320032 has 96 divisors (see below), whose sum is σ = 36816383368800. Its totient is φ = 3927080876544.

The previous prime is 12202001320021. The next prime is 12202001320039. The reversal of 12202001320032 is 23002310020221.

12202001320032 is a `hidden beast` number, since 1 + 220 + 200 + 13 + 200 + 32 = 666.

12202001320032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 12202001319987 and 12202001320014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202001320039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243469543 + ... + 243519654.

It is an arithmetic number, because the mean of its divisors is an integer number (383503993425).

Almost surely, 212202001320032 is an apocalyptic number.

12202001320032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12202001320032 is an abundant number, since it is smaller than the sum of its proper divisors (24614382048768).

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

12202001320032 is a wasteful number, since it uses less digits than its factorization.

12202001320032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486989245 (or 486989231 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12202001320032 its reverse (23002310020221), we get a palindrome (35204311340253).

The spelling of 12202001320032 in words is "twelve trillion, two hundred two billion, one million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 87 96 108 116 144 174 216 232 261 288 348 432 464 522 696 783 864 928 1044 1392 1566 2088 2784 3132 4176 6264 8352 12528 25056 486989197 973978394 1460967591 1947956788 2921935182 3895913576 4382902773 5843870364 7791827152 8765805546 11687740728 13148708319 14122686713 15583654304 17531611092 23375481456 26297416638 28245373426 35063222184 42368060139 46750962912 52594833276 56490746852 70126444368 84736120278 105189666552 112981493704 127104180417 140252888736 169472240556 210379333104 225962987408 254208360834 338944481112 381312541251 420758666208 451925974816 508416721668 677888962224 762625082502 1016833443336 1355777924448 1525250165004 2033666886672 3050500330008 4067333773344 6101000660016 12202001320032