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12011200101 = 36532931061
BaseRepresentation
bin10110010111110110…
…00101111001100101
31011000002012012000000
423023323011321211
5144044331400401
65303505411513
7603435342045
oct131373057145
934002165000
1012011200101
11510401145a
1223b2639b99
1311955866c4
1481d2d5725
154a4734186
hex2cbec5e65

12011200101 has 56 divisors (see below), whose sum is σ = 18428321016. Its totient is φ = 7822189440.

The previous prime is 12011200099. The next prime is 12011200127. The reversal of 12011200101 is 10100211021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6938057025 + 5073143076 = 83295^2 + 71226^2 .

It is not a de Polignac number, because 12011200101 - 21 = 12011200099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011200301) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11320111 + ... + 11321171.

It is an arithmetic number, because the mean of its divisors is an integer number (329077161).

Almost surely, 212011200101 is an apocalyptic number.

It is an amenable number.

12011200101 is a deficient number, since it is larger than the sum of its proper divisors (6417120915).

12011200101 is an equidigital number, since it uses as much as digits as its factorization.

12011200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12011200101 its reverse (10100211021), we get a palindrome (22111411122).

The spelling of 12011200101 in words is "twelve billion, eleven million, two hundred thousand, one hundred one".

Divisors: 1 3 9 27 53 81 159 243 293 477 729 879 1061 1431 2637 3183 4293 7911 9549 12879 15529 23733 28647 38637 46587 56233 71199 85941 139761 168699 213597 257823 310873 419283 506097 773469 932619 1257849 1518291 2797857 3773547 4554873 8393571 11320641 13664619 16476269 25180713 40993857 49428807 75542139 148286421 226626417 444859263 1334577789 4003733367 12011200101