Search a number
-
+
12221200101195 = 345307103994603
BaseRepresentation
bin1011000111010111100001…
…0010100110111101001011
31121021100001110002111220000
42301311320102212331023
53100213004211214240
641554201455534043
72400644505602511
oct261657022467513
947240043074800
1012221200101195
113991a8893a898
12145467322a323
136a85b9c14c27
1430371b5004b1
15162d7c66b430
hexb1d784a6f4b

12221200101195 has 80 divisors (see below), whose sum is σ = 22000379681280. Its totient is φ = 6490420716096.

The previous prime is 12221200101113. The next prime is 12221200101283. The reversal of 12221200101195 is 59110100212221.

It is not a de Polignac number, because 12221200101195 - 28 = 12221200100939 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 129136764 + ... + 129231366.

It is an arithmetic number, because the mean of its divisors is an integer number (275004746016).

Almost surely, 212221200101195 is an apocalyptic number.

12221200101195 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12221200101195 is a deficient number, since it is larger than the sum of its proper divisors (9779179580085).

12221200101195 is a wasteful number, since it uses less digits than its factorization.

12221200101195 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95966 (or 95957 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The spelling of 12221200101195 in words is "twelve trillion, two hundred twenty-one billion, two hundred million, one hundred one thousand, one hundred ninety-five".

Divisors: 1 3 5 9 15 27 45 81 135 307 405 921 1039 1535 2763 3117 4605 5195 8289 9351 13815 15585 24867 28053 41445 46755 84159 94603 124335 140265 283809 318973 420795 473015 851427 956919 1419045 1594865 2554281 2870757 4257135 4784595 7662843 8612271 12771405 14353785 25836813 29043121 38314215 43061355 87129363 98292517 129184065 145215605 261388089 294877551 435646815 491462585 784164267 884632653 1306940445 1474387755 2352492801 2653897959 3920821335 4423163265 7961693877 11762464005 13269489795 30175802719 39808469385 90527408157 150879013595 271582224471 452637040785 814746673413 1357911122355 2444240020239 4073733367065 12221200101195