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12110220020200 = 2352292263792237
BaseRepresentation
bin1011000000111010000101…
…0111001100100111101000
31120212201121001111021010211
42300032201113030213220
53041403212311121300
641431205215350504
72356635353512201
oct260164127144750
946781531437124
1012110220020200
113949a08541395
121437060222434
1369acb1663453
142dc1d00b65a8
151600344c94ba
hexb03a15cc9e8

12110220020200 has 96 divisors (see below), whose sum is σ = 29128769623800. Its totient is φ = 4676793175040.

The previous prime is 12110220020141. The next prime is 12110220020209. The reversal of 12110220020200 is 202002201121.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 93999880836 + 12016220139364 = 306594^2 + 3466442^2 .

It is not an unprimeable number, because it can be changed into a prime (12110220020209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131248482 + ... + 131340718.

Almost surely, 212110220020200 is an apocalyptic number.

12110220020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12110220020200 is an abundant number, since it is smaller than the sum of its proper divisors (17018549603600).

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

12110220020200 is a wasteful number, since it uses less digits than its factorization.

12110220020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114919 (or 114910 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12110220020200 its reverse (202002201121), we get a palindrome (12312222221321).

The spelling of 12110220020200 in words is "twelve trillion, one hundred ten billion, two hundred twenty million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5800 22637 45274 90548 92237 113185 181096 184474 226370 368948 452740 461185 565925 656473 737896 905480 922370 1131850 1312946 1844740 2263700 2305925 2625892 2674873 3282365 3689480 4527400 4611850 5251784 5349746 6564730 9223700 10699492 13129460 13374365 16411825 18447400 21398984 26258920 26748730 32823650 53497460 65647300 66871825 106994920 131294600 133743650 267487300 534974600 2087968969 4175937938 8351875876 10439844845 16703751752 20879689690 41759379380 52199224225 60551100101 83518758760 104398448450 121102200202 208796896900 242204400404 302755500505 417593793800 484408800808 605511001010 1211022002020 1513777502525 2422044004040 3027555005050 6055110010100 12110220020200