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12141312420 = 2235291769371
BaseRepresentation
bin10110100111010110…
…11011100110100100
31011100011000120112210
423103223123212210
5144331133444140
65324434243420
7606605311206
oct132353334644
934304016483
1012141312420
1151704aa7a6
12242a126570
1311b6511343
148326c4776
154b0d85d80
hex2d3adb9a4

12141312420 has 48 divisors (see below), whose sum is σ = 34007819328. Its totient is φ = 3236526720.

The previous prime is 12141312413. The next prime is 12141312437. The reversal of 12141312420 is 2421314121.

It is a super-2 number, since 2×121413124202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140335 + ... + 209705.

It is an arithmetic number, because the mean of its divisors is an integer number (708496236).

Almost surely, 212141312420 is an apocalyptic number.

12141312420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12141312420 is an abundant number, since it is smaller than the sum of its proper divisors (21866506908).

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

12141312420 is a wasteful number, since it uses less digits than its factorization.

12141312420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72300 (or 72298 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 12141312420 its reverse (2421314121), we get a palindrome (14562626541).

The spelling of 12141312420 in words is "twelve billion, one hundred forty-one million, three hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2917 5834 8751 11668 14585 17502 29170 35004 43755 58340 69371 87510 138742 175020 208113 277484 346855 416226 693710 832452 1040565 1387420 2081130 4162260 202355207 404710414 607065621 809420828 1011776035 1214131242 2023552070 2428262484 3035328105 4047104140 6070656210 12141312420