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12204131214132 = 223211133467683777
BaseRepresentation
bin1011000110010111111011…
…1001111110001100110100
31121012200222212222012200200
42301211332321332030310
53044423030042323012
641542300034240500
72366501514501414
oct261457671761464
947180885865620
1012204131214132
113985819a00360
1214512aaa26130
136a6ac9882760
1430297c60c644
151626cddd83dc
hexb197ee7e334

12204131214132 has 144 divisors (see below), whose sum is σ = 36253078085952. Its totient is φ = 3412753367040.

The previous prime is 12204131214109. The next prime is 12204131214137. The reversal of 12204131214132 is 23141213140221.

12204131214132 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 413 + 1 + 214 + 1 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12204131214096 and 12204131214105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12204131214137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17506228 + ... + 18190004.

It is an arithmetic number, because the mean of its divisors is an integer number (251757486708).

Almost surely, 212204131214132 is an apocalyptic number.

12204131214132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12204131214132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18126539042976).

12204131214132 is an abundant number, since it is smaller than the sum of its proper divisors (24048946871820).

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

12204131214132 is a wasteful number, since it uses less digits than its factorization.

12204131214132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687278 (or 687273 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 12204131214132 its reverse (23141213140221), we get a palindrome (35345344354353).

The spelling of 12204131214132 in words is "twelve trillion, two hundred four billion, one hundred thirty-one million, two hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 1287 1716 2574 3467 5148 6934 10401 13868 20802 31203 38137 41604 45071 62406 76274 90142 114411 124812 135213 152548 180284 228822 270426 343233 405639 457644 495781 540852 683777 686466 811278 991562 1367554 1372932 1487343 1622556 1983124 2051331 2735108 2974686 4102662 4462029 5949372 6153993 7521547 8205324 8889101 8924058 12307986 15043094 17778202 17848116 22564641 24615972 26667303 30086188 35556404 45129282 53334606 67693923 80001909 90258564 97780111 106669212 135387846 160003818 195560222 270775692 293340333 320007636 391120444 586680666 880020999 1173361332 1760041998 2370654859 3520083996 4741309718 7111964577 9482619436 14223929154 21335893731 26077203449 28447858308 30818513167 42671787462 52154406898 61637026334 78231610347 85343574924 92455539501 104308813796 123274052668 156463220694 184911079002 234694831041 277366618503 312926441388 339003644837 369822158004 469389662082 554733237006 678007289674 938779324164 1017010934511 1109466474012 1356014579348 2034021869022 3051032803533 4068043738044 6102065607066 12204131214132