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12212001320 = 235305300033
BaseRepresentation
bin10110101111110010…
…00101101000101000
31011112002000221111012
423113321011220220
5200002233020240
65335441323052
7611424204251
oct132771055050
934462027435
1012212001320
1151a73a1382
122449936488
1311c80615ac
1483bc45b28
154b719ab65
hex2d7e45a28

12212001320 has 16 divisors (see below), whose sum is σ = 27477003060. Its totient is φ = 4884800512.

The previous prime is 12212001311. The next prime is 12212001341. The reversal of 12212001320 is 2310021221.

It is a happy number.

12212001320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12204504676 + 7496644 = 110474^2 + 2738^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12212001295 and 12212001304.

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 3 ways as a sum of consecutive naturals, for example, 152649977 + ... + 152650056.

Almost surely, 212212001320 is an apocalyptic number.

12212001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212001320 is an abundant number, since it is smaller than the sum of its proper divisors (15265001740).

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

12212001320 is a wasteful number, since it uses less digits than its factorization.

12212001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305300044 (or 305300040 counting only the distinct ones).

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

Adding to 12212001320 its reverse (2310021221), we get a palindrome (14522022541).

The spelling of 12212001320 in words is "twelve billion, two hundred twelve million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 305300033 610600066 1221200132 1526500165 2442400264 3053000330 6106000660 12212001320