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12001101100 = 22521924126209
BaseRepresentation
bin10110010110101001…
…00100010100101100
31010222101012002202221
423023110210110230
5144034240213400
65302505125124
7603253450642
oct131324442454
933871162687
1012001101100
1150a934397a
1223ab1897a4
13119345ba71
1481bc27192
154a38dbc1a
hex2cb52452c

12001101100 has 72 divisors (see below), whose sum is σ = 27527838800. Its totient is φ = 4528742400.

The previous prime is 12001101053. The next prime is 12001101121. The reversal of 12001101100 is 110110021.

It is a super-2 number, since 2×120011011002 (a number of 21 digits) contains 22 as substring.

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, 444796 + ... + 471004.

Almost surely, 212001101100 is an apocalyptic number.

12001101100 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 12001101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13763919400).

12001101100 is an abundant number, since it is smaller than the sum of its proper divisors (15526737700).

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

12001101100 is a wasteful number, since it uses less digits than its factorization.

12001101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26483 (or 26476 counting only the distinct ones).

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

Adding to 12001101100 its reverse (110110021), we get a palindrome (12111211121).

The spelling of 12001101100 in words is "twelve billion, one million, one hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 241 380 475 482 950 964 1205 1900 2410 4579 4820 6025 9158 12050 18316 22895 24100 26209 45790 52418 91580 104836 114475 131045 228950 262090 457900 497971 524180 655225 995942 1310450 1991884 2489855 2620900 4979710 6316369 9959420 12449275 12632738 24898550 25265476 31581845 49797100 63163690 120011011 126327380 157909225 240022022 315818450 480044044 600055055 631636900 1200110110 2400220220 3000275275 6000550550 12001101100