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12220202101100 = 22527148131178521
BaseRepresentation
bin1011000111010011110011…
…0011100010100101101100
31121021020110220011212010112
42301310330303202211230
53100203433214213400
641553514445155152
72400611000001320
oct261647463424554
947236426155115
1012220202101100
113991616562624
121454434b5bab8
136a848b228126
14303664b53980
15162d1ec32835
hexb1d3cce296c

12220202101100 has 72 divisors (see below), whose sum is σ = 30308172840288. Its totient is φ = 4189497177600.

The previous prime is 12220202101097. The next prime is 12220202101117. The reversal of 12220202101100 is 110120202221.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9779840 + ... + 10958360.

It is an arithmetic number, because the mean of its divisors is an integer number (420946845004).

Almost surely, 212220202101100 is an apocalyptic number.

12220202101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220202101100 is an abundant number, since it is smaller than the sum of its proper divisors (18087970739188).

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

12220202101100 is a wasteful number, since it uses less digits than its factorization.

12220202101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193355 (or 1193348 counting only the distinct ones).

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

Adding to 12220202101100 its reverse (110120202221), we get a palindrome (12330322303321).

The spelling of 12220202101100 in words is "twelve trillion, two hundred twenty billion, two hundred two million, one hundred one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 14813 29626 59252 74065 103691 148130 207382 296260 370325 414764 518455 740650 1036910 1178521 1481300 2073820 2357042 2592275 4714084 5184550 5892605 8249647 10369100 11785210 16499294 23570420 29463025 32998588 41248235 58926050 82496470 117852100 164992940 206241175 412482350 824964700 17457431573 34914863146 69829726292 87287157865 122202021011 174574315730 244404042022 349148631460 436435789325 488808084044 611010105055 872871578650 1222020210110 1745743157300 2444040420220 3055050525275 6110101050550 12220202101100