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12122132310 = 2325257524087
BaseRepresentation
bin10110100101000100…
…10000111101010110
31011021210221010101100
423102202100331112
5144311231213220
65322511210530
7606253265421
oct132242207526
934253833340
1012122132310
11516069a472
122423816a46
1311b2557172
1482dd309b8
154ae347d90
hex2d2890f56

12122132310 has 48 divisors (see below), whose sum is σ = 31640240736. Its totient is φ = 3219984384.

The previous prime is 12122132293. The next prime is 12122132329. The reversal of 12122132310 is 1323122121.

12122132310 is a `hidden beast` number, since 121 + 221 + 323 + 1 + 0 = 666.

It is a super-2 number, since 2×121221323102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 238914 + ... + 285173.

It is an arithmetic number, because the mean of its divisors is an integer number (659171682).

Almost surely, 212122132310 is an apocalyptic number.

12122132310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12122132310 is an abundant number, since it is smaller than the sum of its proper divisors (19518108426).

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

12122132310 is a wasteful number, since it uses less digits than its factorization.

12122132310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524357 (or 524354 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12122132310 its reverse (1323122121), we get a palindrome (13445254431).

The spelling of 12122132310 in words is "twelve billion, one hundred twenty-two million, one hundred thirty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 257 514 771 1285 1542 2313 2570 3855 4626 7710 11565 23130 524087 1048174 1572261 2620435 3144522 4716783 5240870 7861305 9433566 15722610 23583915 47167830 134690359 269380718 404071077 673451795 808142154 1212213231 1346903590 2020355385 2424426462 4040710770 6061066155 12122132310