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12011112000010 = 252326157016529
BaseRepresentation
bin1010111011001000111000…
…0100000110101000001010
31120112020210001021012011101
42232302032010012220022
53033242224133000020
641313454554452014
72346526360320004
oct256621604065012
946466701235141
1012011112000010
11391097a65a992
12141ba0113400a
1369184889ca16
142d74ab6c5374
1515c68373500a
hexaec8e106a0a

12011112000010 has 96 divisors (see below), whose sum is σ = 22978925660880. Its totient is φ = 4518733824000.

The previous prime is 12011111999923. The next prime is 12011112000011. The reversal of 12011112000010 is 1000021111021.

It can be written as a sum of positive squares in 8 ways, for example, as 1504353763441 + 10506758236569 = 1226521^2 + 3241413^2 .

It is a super-2 number, since 2×120111120000102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12011112000011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1839652426 + ... + 1839658954.

Almost surely, 212011112000010 is an apocalyptic number.

12011112000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12011112000010 is a deficient number, since it is larger than the sum of its proper divisors (10967813660870).

12011112000010 is a wasteful number, since it uses less digits than its factorization.

12011112000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12344 (or 12321 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12011112000010 its reverse (1000021111021), we get a palindrome (13011133111031).

The spelling of 12011112000010 in words is "twelve trillion, eleven billion, one hundred twelve million, ten", and thus it is an aban number.

Divisors: 1 2 5 10 23 46 61 115 122 230 305 529 610 1058 1403 2645 2806 5290 5701 6529 7015 11402 13058 14030 28505 32269 32645 57010 64538 65290 131123 150167 161345 262246 300334 322690 347761 398269 655615 695522 750835 796538 1311230 1501670 1738805 1991345 3015829 3453841 3477610 3982690 6031658 6907682 7998503 9160187 15079145 15997006 17269205 18320374 30158290 34538410 37221829 39992515 45800935 74443658 79985030 91601870 183965569 186109145 210684301 367931138 372218290 421368602 856102067 919827845 1053421505 1712204134 1839655690 2106843010 2270531569 4280510335 4541063138 8561020670 11352657845 19690347541 22705315690 39380695082 52222226087 98451737705 104444452174 196903475410 261111130435 522222260870 1201111200001 2402222400002 6005556000005 12011112000010