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12221072404100 = 2252733307107741
BaseRepresentation
bin1011000111010111000010…
…1011011110111010000100
31121021022201112210211101222
42301311300223132322010
53100212224013412400
641554141054535512
72400641365313000
oct261656053367204
947238645724358
1012221072404100
113991a228510aa
121454638507598
136a8599624711
1430370857d700
15162d71345185
hexb1d70adee84

12221072404100 has 144 divisors (see below), whose sum is σ = 30936434524800. Its totient is φ = 4188776054400.

The previous prime is 12221072404091. The next prime is 12221072404103. The reversal of 12221072404100 is 140427012221.

It is a happy number.

It is a super-2 number, since 2×122210724041002 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12221072404100.

It is not an unprimeable number, because it can be changed into a prime (12221072404103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113376230 + ... + 113483970.

Almost surely, 212221072404100 is an apocalyptic number.

12221072404100 is a gapful number since it is divisible by the number (10) 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 12221072404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15468217262400).

12221072404100 is an abundant number, since it is smaller than the sum of its proper divisors (18715362120700).

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

12221072404100 is a wasteful number, since it uses less digits than its factorization.

12221072404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111083 (or 111062 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

Adding to 12221072404100 its reverse (140427012221), we get a palindrome (12361499416321).

The spelling of 12221072404100 in words is "twelve trillion, two hundred twenty-one billion, seventy-two million, four hundred four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 343 350 490 686 700 980 1225 1372 1715 2450 3307 3430 4900 6614 6860 8575 13228 16535 17150 23149 33070 34300 46298 66140 82675 92596 107741 115745 162043 165350 215482 231490 324086 330700 430964 462980 538705 578725 648172 754187 810215 1077410 1134301 1157450 1508374 1620430 2154820 2268602 2314900 2693525 3016748 3240860 3770935 4051075 4537204 5279309 5387050 5671505 7541870 8102150 10558618 10774100 11343010 15083740 16204300 18854675 21117236 22686020 26396545 28357525 36955163 37709350 52793090 56715050 73910326 75418700 105586180 113430100 131982725 147820652 184775815 263965450 356299487 369551630 527930900 712598974 739103260 923879075 1425197948 1781497435 1847758150 2494096409 3562994870 3695516300 4988192818 7125989740 8907487175 9976385636 12470482045 17458674863 17814974350 24940964090 34917349726 35629948700 49881928180 62352410225 69834699452 87293374315 122210724041 124704820450 174586748630 244421448082 249409640900 349173497260 436466871575 488842896164 611053620205 872933743150 1222107240410 1745867486300 2444214480820 3055268101025 6110536202050 12221072404100