Search a number
-
+
12201111122010 = 2353531152135139
BaseRepresentation
bin1011000110001100101011…
…1001001111000001011010
31121012102012102010122010220
42301203022321033001122
53044400333421401020
641541040231220510
72366333623234206
oct261431271170132
947172172118126
1012201111122010
11398450a167458
1214507a7517736
136a6737c84bb5
14302773495b06
151625a3bc6240
hexb18cae4f05a

12201111122010 has 32 divisors (see below), whose sum is σ = 29365620448320. Its totient is φ = 3244412548608.

The previous prime is 12201111121999. The next prime is 12201111122017. The reversal of 12201111122010 is 1022111110221.

It is a happy number.

It is a super-2 number, since 2×122011111220102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (12201111122017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 576056980 + ... + 576078159.

It is an arithmetic number, because the mean of its divisors is an integer number (917675639010).

Almost surely, 212201111122010 is an apocalyptic number.

12201111122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12201111122010 is an abundant number, since it is smaller than the sum of its proper divisors (17164509326310).

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

12201111122010 is a wasteful number, since it uses less digits than its factorization.

12201111122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152135502.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12201111122010 its reverse (1022111110221), we get a palindrome (13223222232231).

The spelling of 12201111122010 in words is "twelve trillion, two hundred one billion, one hundred eleven million, one hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 353 706 1059 1765 2118 3530 5295 10590 1152135139 2304270278 3456405417 5760675695 6912810834 11521351390 17282027085 34564054170 406703704067 813407408134 1220111112201 2033518520335 2440222224402 4067037040670 6100555561005 12201111122010