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12120024230132 = 22721337128558957
BaseRepresentation
bin1011000001011110100110…
…1111010010100011110100
31120220122220022211201210012
42300113221233102203310
53042033302200331012
641435510125515352
72360433333102500
oct260275157224364
946818808751705
1012120024230132
113953089789425
121438b37712b58
1369bbb490b8c0
142dc880231300
1516040a0b0622
hexb05e9bd28f4

12120024230132 has 72 divisors (see below), whose sum is σ = 27288952896744. Its totient is φ = 4665147395328.

The previous prime is 12120024230113. The next prime is 12120024230231. The reversal of 12120024230132 is 23103242002121.

It can be written as a sum of positive squares in 4 ways, for example, as 1819493440996 + 10300530789136 = 1348886^2 + 3209444^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12120024230098 and 12120024230107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64185203 + ... + 64373754.

It is an arithmetic number, because the mean of its divisors is an integer number (379013234677).

Almost surely, 212120024230132 is an apocalyptic number.

It is an amenable number.

12120024230132 is an abundant number, since it is smaller than the sum of its proper divisors (15168928666612).

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

12120024230132 is a wasteful number, since it uses less digits than its factorization.

12120024230132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128559025 (or 128559016 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 12120024230132 its reverse (23103242002121), we get a palindrome (35223266232253).

The spelling of 12120024230132 in words is "twelve trillion, one hundred twenty billion, twenty-four million, two hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 37 49 52 74 91 98 148 182 196 259 364 481 518 637 962 1036 1274 1813 1924 2548 3367 3626 6734 7252 13468 23569 47138 94276 128558957 257117914 514235828 899912699 1671266441 1799825398 3342532882 3599650796 4756681409 6299388893 6685065764 9513362818 11698865087 12598777786 19026725636 23397730174 25197555572 33296769863 46795460348 61836858317 66593539726 81892055609 123673716634 133187079452 163784111218 233077389041 247347433268 327568222436 432858008219 466154778082 865716016438 932309556164 1731432032876 3030006057533 6060012115066 12120024230132