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12122000240 = 245723092347
BaseRepresentation
bin10110100101000011…
…10000101101110000
31011021210200102012212
423102201300231300
5144311213001430
65322504311252
7606252205400
oct132241605560
934253612185
1012122000240
11516060a219
122423772528
1311b250c00c
1482dcd8800
154ae31db95
hex2d2870b70

12122000240 has 60 divisors (see below), whose sum is σ = 32785073496. Its totient is φ = 4156113024.

The previous prime is 12122000213. The next prime is 12122000249. The reversal of 12122000240 is 4200022121.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122000249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1542254 + ... + 1550093.

Almost surely, 212122000240 is an apocalyptic number.

12122000240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122000240 is an abundant number, since it is smaller than the sum of its proper divisors (20663073256).

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

12122000240 is a wasteful number, since it uses less digits than its factorization.

12122000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092374 (or 3092361 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12122000240 its reverse (4200022121), we get a palindrome (16322022361).

The spelling of 12122000240 in words is "twelve billion, one hundred twenty-two million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 3092347 6184694 12369388 15461735 21646429 24738776 30923470 43292858 49477552 61846940 86585716 108232145 123693880 151525003 173171432 216464290 247387760 303050006 346342864 432928580 606100012 757625015 865857160 1212200024 1515250030 1731714320 2424400048 3030500060 6061000120 12122000240