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12001111300 = 2252677177269
BaseRepresentation
bin10110010110101001…
…00110110100000100
31010222101012121202201
423023110212310010
5144034241030200
65302505244244
7603253522453
oct131324466404
933871177681
1012001111300
1150a9350602
1223ab193684
1311934635b9
1481bc2ab9a
154a38dec6a
hex2cb526d04

12001111300 has 36 divisors (see below), whose sum is σ = 26081026020. Its totient is φ = 4793326720.

The previous prime is 12001111277. The next prime is 12001111307. The reversal of 12001111300 is 311110021.

It can be written as a sum of positive squares in 6 ways, for example, as 57244356 + 11943866944 = 7566^2 + 109288^2 .

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 (12001111307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20935 + ... + 156334.

It is an arithmetic number, because the mean of its divisors is an integer number (724472945).

Almost surely, 212001111300 is an apocalyptic number.

12001111300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001111300 is an abundant number, since it is smaller than the sum of its proper divisors (14079914720).

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

12001111300 is a wasteful number, since it uses less digits than its factorization.

12001111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177960 (or 177953 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 12001111300 its reverse (311110021), we get a palindrome (12312221321).

The spelling of 12001111300 in words is "twelve billion, one million, one hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 677 1354 2708 3385 6770 13540 16925 33850 67700 177269 354538 709076 886345 1772690 3545380 4431725 8863450 17726900 120011113 240022226 480044452 600055565 1200111130 2400222260 3000277825 6000555650 12001111300