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12401301020 = 22513110314591
BaseRepresentation
bin10111000110010110…
…01101011000011100
31012000021020100212012
423203023031120130
5200344213113040
65410322530352
7616213214363
oct134313153034
935007210765
1012401301020
115294236009
1224a12069b8
131228340354
148590407da
154c8ade865
hex2e32cd61c

12401301020 has 48 divisors (see below), whose sum is σ = 26272705536. Its totient is φ = 4916808000.

The previous prime is 12401301019. The next prime is 12401301041. The reversal of 12401301020 is 2010310421.

12401301020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12401300986 and 12401301004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2698925 + ... + 2703515.

It is an arithmetic number, because the mean of its divisors is an integer number (547348032).

Almost surely, 212401301020 is an apocalyptic number.

12401301020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12401301020 is an abundant number, since it is smaller than the sum of its proper divisors (13871404516).

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

12401301020 is a wasteful number, since it uses less digits than its factorization.

12401301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5762 (or 5760 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12401301020 its reverse (2010310421), we get a palindrome (14411611441).

The spelling of 12401301020 in words is "twelve billion, four hundred one million, three hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 131 262 524 655 1031 1310 2062 2620 4124 4591 5155 9182 10310 18364 20620 22955 45910 91820 135061 270122 540244 601421 675305 1202842 1350610 2405684 2701220 3007105 4733321 6014210 9466642 12028420 18933284 23666605 47333210 94666420 620065051 1240130102 2480260204 3100325255 6200650510 12401301020