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12210011110000 = 245411111000101
BaseRepresentation
bin1011000110101101110101…
…0111111111101001110000
31121020021011200000212110201
42301223131113333221300
53100022100321010000
641545111321004544
72400100313003104
oct261533527775160
947207150025421
1012210011110000
113988266a59130
121452470023754
136a7525ab9092
14302d794b5904
151629251e996a
hexb1add5ffa70

12210011110000 has 100 divisors (see below), whose sum is σ = 32249081634264. Its totient is φ = 4440004000000.

The previous prime is 12210011109983. The next prime is 12210011110001. The reversal of 12210011110000 is 1111001221.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210011110001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55390051 + ... + 55610050.

Almost surely, 212210011110000 is an apocalyptic number.

12210011110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210011110000 is an abundant number, since it is smaller than the sum of its proper divisors (20039070524264).

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

12210011110000 is a wasteful number, since it uses less digits than its factorization.

12210011110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111000140 (or 111000119 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12210011110000 its reverse (1111001221), we get a palindrome (12211122111221).

It can be divided in two parts, 12 and 210011110000, that added together give a palindrome (210011110012).

The spelling of 12210011110000 in words is "twelve trillion, two hundred ten billion, eleven million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 111000101 222000202 444000404 555000505 888000808 1110001010 1221001111 1776001616 2220002020 2442002222 2775002525 4440004040 4884004444 5550005050 6105005555 8880008080 9768008888 11100010100 12210011110 13875012625 19536017776 22200020200 24420022220 27750025250 30525027775 44400040400 48840044440 55500050500 61050055550 69375063125 97680088880 111000101000 122100111100 138750126250 152625138875 222000202000 244200222200 277500252500 305250277750 488400444400 555000505000 610500555500 763125694375 1110001010000 1221001111000 1526251388750 2442002222000 3052502777500 6105005555000 12210011110000