Search a number
-
+
12220000212096 = 273317207992923
BaseRepresentation
bin1011000111010011000011…
…0001011001010010000000
31121021012221211021211111000
42301310300301121102000
53100203030023241341
641553442434052000
72400602665655535
oct261646061312200
947235854254430
1012220000212096
1139915225aa406
12145439941a000
136a845845c091
14303645ddcd8c
15162d0c1538b6
hexb1d30c59480

12220000212096 has 128 divisors (see below), whose sum is σ = 38187500846400. Its totient is φ = 3833725538304.

The previous prime is 12220000212071. The next prime is 12220000212103. The reversal of 12220000212096 is 69021200002221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103937710 + ... + 104055213.

Almost surely, 212220000212096 is an apocalyptic number.

12220000212096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12220000212096 is an abundant number, since it is smaller than the sum of its proper divisors (25967500634304).

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

12220000212096 is a wasteful number, since it uses less digits than its factorization.

12220000212096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207992963 (or 207992945 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 12220000212096 in words is "twelve trillion, two hundred twenty billion, two hundred twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 272 288 306 384 408 432 459 544 576 612 816 864 918 1088 1152 1224 1632 1728 1836 2176 2448 3264 3456 3672 4896 6528 7344 9792 14688 19584 29376 58752 207992923 415985846 623978769 831971692 1247957538 1663943384 1871936307 2495915076 3327886768 3535879691 3743872614 4991830152 5615808921 6655773536 7071759382 7487745228 9983660304 10607639073 11231617842 13311547072 14143518764 14975490456 19967320608 21215278146 22463235684 26623094144 28287037528 29950980912 31822917219 39934641216 42430556292 44926471368 56574075056 59901961824 63645834438 79869282432 84861112584 89852942736 95468751657 113148150112 119803923648 127291668876 169722225168 179705885472 190937503314 226296300224 239607847296 254583337752 339444450336 359411770944 381875006628 452592600448 509166675504 678888900672 718823541888 763750013256 1018333351008 1357777801344 1527500026512 2036666702016 3055000053024 4073333404032 6110000106048 12220000212096