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12122040024 = 2332786721401
BaseRepresentation
bin10110100101000011…
…11010011011011000
31011021210202102210100
423102201322123120
5144311220240044
65322505215400
7606252432363
oct132241723330
934253672710
1012122040024
1151606370a6
122423791560
1311b2524163
1482dd090da
154ae32a869
hex2d287a6d8

12122040024 has 48 divisors (see below), whose sum is σ = 32836232520. Its totient is φ = 4039977600.

The previous prime is 12122040017. The next prime is 12122040031. The reversal of 12122040024 is 42004022121.

12122040024 is a `hidden beast` number, since 1 + 21 + 220 + 400 + 24 = 666.

12122040024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12122040017) and next prime (12122040031).

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

It is a junction number, because it is equal to n+sod(n) for n = 12122039979 and 12122040006.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 555724 + ... + 577124.

Almost surely, 212122040024 is an apocalyptic number.

It is an amenable number.

12122040024 is an abundant number, since it is smaller than the sum of its proper divisors (20714192496).

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

12122040024 is a wasteful number, since it uses less digits than its factorization.

12122040024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29280 (or 29273 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12122040024 its reverse (42004022121), we get a palindrome (54126062145).

The spelling of 12122040024 in words is "twelve billion, one hundred twenty-two million, forty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 7867 15734 21401 23601 31468 42802 47202 62936 64203 70803 85604 94404 128406 141606 171208 188808 192609 256812 283212 385218 513624 566424 770436 1540872 168361667 336723334 505085001 673446668 1010170002 1346893336 1515255003 2020340004 3030510006 4040680008 6061020012 12122040024