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122001300312 = 2335083387513
BaseRepresentation
bin111000110011111011…
…0000001101101011000
3102122220110222012102020
41301213312001231120
53444324313102222
6132014023134440
711546206641123
oct1614766015530
9378813865366
10122001300312
114781660a721
121b789ba4420
13b6739c8538
145c9505d3ba
153290a2365c
hex1c67d81b58

122001300312 has 16 divisors (see below), whose sum is σ = 305003250840. Its totient is φ = 40667100096.

The previous prime is 122001300287. The next prime is 122001300329. The reversal of 122001300312 is 213003100221.

It is a super-2 number, since 2×1220013003122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122001300291 and 122001300300.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 2541693733 + ... + 2541693780.

Almost surely, 2122001300312 is an apocalyptic number.

122001300312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122001300312 is an abundant number, since it is smaller than the sum of its proper divisors (183001950528).

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

122001300312 is a wasteful number, since it uses less digits than its factorization.

122001300312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5083387522 (or 5083387518 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 122001300312 its reverse (213003100221), we get a palindrome (335004400533).

The spelling of 122001300312 in words is "one hundred twenty-two billion, one million, three hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 5083387513 10166775026 15250162539 20333550052 30500325078 40667100104 61000650156 122001300312