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12111100000 = 2555281431
BaseRepresentation
bin10110100011110000…
…01011100001100000
31011021001011121220021
423101320023201200
5144300420200000
65321434523224
7606060436306
oct132170134140
934231147807
1012111100000
11515544475a
12241bb96514
1311b019377c
1482c69c276
154ad3b911a
hex2d1e0b860

12111100000 has 144 divisors (see below), whose sum is σ = 29978206272. Its totient is φ = 4816000000.

The previous prime is 12111099971. The next prime is 12111100039. The reversal of 12111100000 is 111121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28099785 + ... + 28100215.

It is an arithmetic number, because the mean of its divisors is an integer number (208181988).

Almost surely, 212111100000 is an apocalyptic number.

12111100000 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 12111100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14989103136).

12111100000 is an abundant number, since it is smaller than the sum of its proper divisors (17867106272).

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

12111100000 is an frugal number, since it uses more digits than its factorization.

12111100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 12111100000 its reverse (111121), we get a palindrome (12111211121).

The spelling of 12111100000 in words is "twelve billion, one hundred eleven million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 281 400 431 500 562 625 800 862 1000 1124 1250 1405 1724 2000 2155 2248 2500 2810 3125 3448 4000 4310 4496 5000 5620 6250 6896 7025 8620 8992 10000 10775 11240 12500 13792 14050 17240 20000 21550 22480 25000 28100 34480 35125 43100 44960 50000 53875 56200 68960 70250 86200 100000 107750 112400 121111 140500 172400 175625 215500 224800 242222 269375 281000 344800 351250 431000 484444 538750 562000 605555 702500 862000 878125 968888 1077500 1124000 1211110 1346875 1405000 1724000 1756250 1937776 2155000 2422220 2693750 2810000 3027775 3512500 3875552 4310000 4844440 5387500 5620000 6055550 7025000 8620000 9688880 10775000 12111100 14050000 15138875 19377760 21550000 24222200 28100000 30277750 43100000 48444400 60555500 75694375 96888800 121111000 151388750 242222000 302777500 378471875 484444000 605555000 756943750 1211110000 1513887500 2422220000 3027775000 6055550000 12111100000