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12210201220100 = 2252139392462477
BaseRepresentation
bin1011000110101110100010…
…1101001101010000000100
31121020021122220202110111112
42301223220231031100010
53100022443003020400
641545142231424152
72400105111630002
oct261535055152004
947207586673445
1012210201220100
1139883542a6714
121452503825058
136a75562bc970
14302d96841a72
15162936c4d835
hexb1ae8b4d404

12210201220100 has 36 divisors (see below), whose sum is σ = 28534301008164. Its totient is φ = 4508381988480.

The previous prime is 12210201220033. The next prime is 12210201220163. The reversal of 12210201220100 is 102210201221.

It can be written as a sum of positive squares in 6 ways, for example, as 5347184510404 + 6863016709696 = 2312398^2 + 2619736^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4696229939 + ... + 4696232538.

It is an arithmetic number, because the mean of its divisors is an integer number (792619472449).

Almost surely, 212210201220100 is an apocalyptic number.

12210201220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210201220100 is an abundant number, since it is smaller than the sum of its proper divisors (16324099788064).

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

12210201220100 is a wasteful number, since it uses less digits than its factorization.

12210201220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9392462504 (or 9392462497 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12210201220100 its reverse (102210201221), we get a palindrome (12312411421321).

The spelling of 12210201220100 in words is "twelve trillion, two hundred ten billion, two hundred one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 9392462477 18784924954 37569849908 46962312385 93924624770 122102012201 187849249540 234811561925 244204024402 469623123850 488408048804 610510061005 939246247700 1221020122010 2442040244020 3052550305025 6105100610050 12210201220100