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12002142400300 = 22521334511267521
BaseRepresentation
bin1010111010100111011101…
…1011110010111100101100
31120111101121221101022111201
42232221313123302330230
53033120341423302200
641305412541055244
72346061164062353
oct256516733627454
946441557338451
1012002142400300
113908097542968
12141a119257524
13690a49504980
142d6c9a34499a
1515c30b060c6a
hexaea776f2f2c

12002142400300 has 72 divisors (see below), whose sum is σ = 28049001124032. Its totient is φ = 4431415296000.

The previous prime is 12002142400291. The next prime is 12002142400319. The reversal of 12002142400300 is 300424120021.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44730540 + ... + 44998060.

It is an arithmetic number, because the mean of its divisors is an integer number (389569460056).

Almost surely, 212002142400300 is an apocalyptic number.

12002142400300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002142400300 is an abundant number, since it is smaller than the sum of its proper divisors (16046858723732).

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

12002142400300 is a wasteful number, since it uses less digits than its factorization.

12002142400300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302059 (or 302052 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 12002142400300 its reverse (300424120021), we get a palindrome (12302566520321).

The spelling of 12002142400300 in words is "twelve trillion, two billion, one hundred forty-two million, four hundred thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 34511 69022 138044 172555 267521 345110 448643 535042 690220 862775 897286 1070084 1337605 1725550 1794572 2243215 2675210 3451100 3477773 4486430 5350420 6688025 6955546 8972860 11216075 13376050 13911092 17388865 22432150 26752100 34777730 44864300 69555460 86944325 173888650 347777300 9232417231 18464834462 36929668924 46162086155 92324172310 120021424003 184648344620 230810430775 240042848006 461620861550 480085696012 600107120015 923241723100 1200214240030 2400428480060 3000535600075 6001071200150 12002142400300