Search a number
-
+
12101020011200 = 26527563137507
BaseRepresentation
bin1011000000010111110011…
…1111111100101011000000
31120211211211220001101100202
42300011330333330223000
53041230342110324300
641423044251304332
72356161361645421
oct260057477745300
946754756041322
1012101020011200
11394601736146a
12143531314b0a8
1369a176624a43
142db99a2b9648
1515eb96990ad5
hexb017cffcac0

12101020011200 has 42 divisors (see below), whose sum is σ = 29776072368996. Its totient is φ = 4840408003840.

The previous prime is 12101020011187. The next prime is 12101020011233. The reversal of 12101020011200 is 211002010121.

It is a super-2 number, since 2×121010200112002 (a number of 27 digits) contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 3781567154 + ... + 3781570353.

Almost surely, 212101020011200 is an apocalyptic number.

12101020011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101020011200 is an abundant number, since it is smaller than the sum of its proper divisors (17675052357796).

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

12101020011200 is an equidigital number, since it uses as much as digits as its factorization.

12101020011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7563137529 (or 7563137514 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12101020011200 its reverse (211002010121), we get a palindrome (12312022021321).

The spelling of 12101020011200 in words is "twelve trillion, one hundred one billion, twenty million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 7563137507 15126275014 30252550028 37815687535 60505100056 75631375070 121010200112 151262750140 189078437675 242020400224 302525500280 378156875350 484040800448 605051000560 756313750700 1210102001120 1512627501400 2420204002240 3025255002800 6050510005600 12101020011200