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12312100000 = 2555123121
BaseRepresentation
bin10110111011101101…
…11011110010100000
31011210001101111001201
423131312323302200
5200203344200000
65353415010544
7614051060164
oct133566736240
934701344051
1012312100000
11524894aa62
122477369a54
131212a0ac95
1484b260ca4
154c0d6e96a
hex2dddbbca0

12312100000 has 72 divisors (see below), whose sum is σ = 30297615516. Its totient is φ = 4924800000.

The previous prime is 12312099979. The next prime is 12312100019. The reversal of 12312100000 is 121321.

It can be written as a sum of positive squares in 6 ways, for example, as 258695056 + 12053404944 = 16084^2 + 109788^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 12312100000.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38440 + ... + 161560.

Almost surely, 212312100000 is an apocalyptic number.

12312100000 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 12312100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15148807758).

12312100000 is an abundant number, since it is smaller than the sum of its proper divisors (17985515516).

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

12312100000 is an frugal number, since it uses more digits than its factorization.

12312100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123156 (or 123128 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 12312100000 its reverse (121321), we get a palindrome (12312221321).

The spelling of 12312100000 in words is "twelve billion, three hundred twelve million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000 123121 246242 492484 615605 984968 1231210 1969936 2462420 3078025 3939872 4924840 6156050 9849680 12312100 15390125 19699360 24624200 30780250 49248400 61560500 76950625 98496800 123121000 153901250 246242000 307802500 384753125 492484000 615605000 769506250 1231210000 1539012500 2462420000 3078025000 6156050000 12312100000