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12012012100 = 22521123346867
BaseRepresentation
bin10110010111111100…
…01100001001000100
31011000010201102212001
423023332030021010
5144100033341400
65303535035044
7603445263304
oct131376141104
934003642761
1012012012100
115104516530
1223b296ba84
1311957ac18a
1481d467604
154a4844a6a
hex2cbf8c244

12012012100 has 72 divisors (see below), whose sum is σ = 28558359648. Its totient is φ = 4349164800.

The previous prime is 12012012083. The next prime is 12012012151. The reversal of 12012012100 is 121021021.

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

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, 232867 + ... + 279733.

It is an arithmetic number, because the mean of its divisors is an integer number (396643884).

Almost surely, 212012012100 is an apocalyptic number.

12012012100 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 12012012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14279179824).

12012012100 is an abundant number, since it is smaller than the sum of its proper divisors (16546347548).

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

12012012100 is a wasteful number, since it uses less digits than its factorization.

12012012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47125 (or 47118 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12012012100 its reverse (121021021), we get a palindrome (12133033121).

The spelling of 12012012100 in words is "twelve billion, twelve million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 233 275 466 550 932 1100 1165 2330 2563 4660 5126 5825 10252 11650 12815 23300 25630 46867 51260 64075 93734 128150 187468 234335 256300 468670 515537 937340 1031074 1171675 2062148 2343350 2577685 4686700 5155370 10310740 10920011 12888425 21840022 25776850 43680044 51553700 54600055 109200110 120120121 218400220 240240242 273000275 480480484 546000550 600600605 1092001100 1201201210 2402402420 3003003025 6006006050 12012012100