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12131311200 = 253525054713
BaseRepresentation
bin10110100110001010…
…10001111001100000
31011022110012110110020
423103011101321200
5144321103424300
65323440033440
7606424305141
oct132305217140
934273173406
1012131311200
115165899728
122426902880
1311b441c068
1483123dac8
154b005c8a0
hex2d3151e60

12131311200 has 72 divisors (see below), whose sum is σ = 39487425768. Its totient is φ = 3235015680.

The previous prime is 12131311193. The next prime is 12131311201. The reversal of 12131311200 is 211313121.

It is a happy number.

It is a super-2 number, since 2×121313112002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12131311200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131311201) 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, 2524957 + ... + 2529756.

It is an arithmetic number, because the mean of its divisors is an integer number (548436469).

Almost surely, 212131311200 is an apocalyptic number.

12131311200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12131311200 is an abundant number, since it is smaller than the sum of its proper divisors (27356114568).

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

12131311200 is a wasteful number, since it uses less digits than its factorization.

12131311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5054736 (or 5054723 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12131311200 its reverse (211313121), we get a palindrome (12342624321).

The spelling of 12131311200 in words is "twelve billion, one hundred thirty-one million, three hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 5054713 10109426 15164139 20218852 25273565 30328278 40437704 50547130 60656556 75820695 80875408 101094260 121313112 126367825 151641390 161750816 202188520 242626224 252735650 303282780 379103475 404377040 485252448 505471300 606565560 758206950 808754080 1010942600 1213131120 1516413900 2021885200 2426262240 3032827800 4043770400 6065655600 12131311200