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12540212300 = 225272111971181
BaseRepresentation
bin10111010110111010…
…00111010001001100
31012100221121210022102
423223131013101030
5201140243243200
65432204134232
7622521021500
oct135335072114
935327553272
1012540212300
115355694120
12251b837378
13124b058c85
1486d680300
154d5dcd6d5
hex2eb74744c

12540212300 has 216 divisors, whose sum is σ = 34737495408. Its totient is φ = 3885504000.

The previous prime is 12540212291. The next prime is 12540212303. The reversal of 12540212300 is 321204521.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12540212303) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10617710 + ... + 10618890.

It is an arithmetic number, because the mean of its divisors is an integer number (160821738).

Almost surely, 212540212300 is an apocalyptic number.

12540212300 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 12540212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17368747704).

12540212300 is an abundant number, since it is smaller than the sum of its proper divisors (22197283108).

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

12540212300 is a wasteful number, since it uses less digits than its factorization.

12540212300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 12540212300 its reverse (321204521), we get a palindrome (12861416821).

The spelling of 12540212300 in words is "twelve billion, five hundred forty million, two hundred twelve thousand, three hundred".