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12101022200 = 23522316316139
BaseRepresentation
bin10110100010100011…
…01111000111111000
31011020100012121202102
423101101233013320
5144240330202300
65320434522532
7605605664051
oct132121570770
934210177672
1012101022200
11514a7910a3
122418736448
1311ab075687
1482b1d7728
154ac5780d5
hex2d146f1f8

12101022200 has 96 divisors (see below), whose sum is σ = 29540073600. Its totient is φ = 4601266560.

The previous prime is 12101022191. The next prime is 12101022209. The reversal of 12101022200 is 222010121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12101022191) and next prime (12101022209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101022209) 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, 741731 + ... + 757869.

It is an arithmetic number, because the mean of its divisors is an integer number (307709100).

Almost surely, 212101022200 is an apocalyptic number.

12101022200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12101022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14770036800).

12101022200 is an abundant number, since it is smaller than the sum of its proper divisors (17439051400).

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

12101022200 is a wasteful number, since it uses less digits than its factorization.

12101022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16341 (or 16332 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12101022200 its reverse (222010121), we get a palindrome (12323032321).

The spelling of 12101022200 in words is "twelve billion, one hundred one million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 163 184 200 230 326 460 575 652 815 920 1150 1304 1630 2300 3260 3749 4075 4600 6520 7498 8150 14996 16139 16300 18745 29992 32278 32600 37490 64556 74980 80695 93725 129112 149960 161390 187450 322780 371197 374900 403475 645560 742394 749800 806950 1484788 1613900 1855985 2630657 2969576 3227800 3711970 5261314 7423940 9279925 10522628 13153285 14847880 18559850 21045256 26306570 37119700 52613140 60505111 65766425 74239400 105226280 121010222 131532850 242020444 263065700 302525555 484040888 526131400 605051110 1210102220 1512627775 2420204440 3025255550 6050511100 12101022200