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12214455453450 = 23252531034972199
BaseRepresentation
bin1011000110111110011001…
…0001110100011100001010
31121020200122101211220112200
42301233212101310130022
53100110201044002300
641551124322421030
72400315410206455
oct261574621643412
947220571756480
1012214455453450
11398a137745148
1214532b0501776
136a7a837a68c3
1430327b85449c
15162ad5492200
hexb1be647470a

12214455453450 has 144 divisors (see below), whose sum is σ = 33759965116800. Its totient is φ = 3164704583040.

The previous prime is 12214455453449. The next prime is 12214455453533. The reversal of 12214455453450 is 5435455441221.

12214455453450 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 4 + 4 + 554 + 53 + 45 + 0 = 666.

12214455453450 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 (45).

It is a junction number, because it is equal to n+sod(n) for n = 12214455453396 and 12214455453405.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29550 + ... + 4942649.

It is an arithmetic number, because the mean of its divisors is an integer number (234444202200).

Almost surely, 212214455453450 is an apocalyptic number.

12214455453450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12214455453450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16879982558400).

12214455453450 is an abundant number, since it is smaller than the sum of its proper divisors (21545509663350).

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

12214455453450 is a wasteful number, since it uses less digits than its factorization.

12214455453450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4972373 (or 4972365 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 45.

The spelling of 12214455453450 in words is "twelve trillion, two hundred fourteen billion, four hundred fifty-five million, four hundred fifty-three thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 53 75 90 103 106 150 159 206 225 265 309 318 450 477 515 530 618 795 927 954 1030 1325 1545 1590 1854 2385 2575 2650 3090 3975 4635 4770 5150 5459 7725 7950 9270 10918 11925 15450 16377 23175 23850 27295 32754 46350 49131 54590 81885 98262 136475 163770 245655 272950 409425 491310 818850 1228275 2456550 4972199 9944398 14916597 24860995 29833194 44749791 49721990 74582985 89499582 124304975 149165970 223748955 248609950 263526547 372914925 447497910 512136497 527053094 745829850 790579641 1024272994 1118744775 1317632735 1536409491 1581159282 2237489550 2371738923 2560682485 2635265470 3072818982 3952898205 4609228473 4743477846 5121364970 6588163675 7682047455 7905796410 9218456946 11858694615 12803412425 13176327350 15364094910 19764491025 23046142365 23717389230 25606824850 27143234341 38410237275 39528982050 46092284730 54286468682 59293473075 76820474550 81429703023 115230711825 118586946150 135716171705 162859406046 230461423650 244289109069 271432343410 407148515115 488578218138 678580858525 814297030230 1221445545345 1357161717050 2035742575575 2442891090690 4071485151150 6107227726725 12214455453450