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1225325043126 = 23229103206311047
BaseRepresentation
bin10001110101001011000…
…100000101110110110110
311100010210000020121010200
4101311023010011312312
5130033431202340001
62334523452101330
7154345461006012
oct21651304056666
94303700217120
101225325043126
114327260518a8
12179586a64846
138b717279a22
144343db23542
1521d181b7086
hex11d4b105db6

1225325043126 has 96 divisors (see below), whose sum is σ = 2774677800960. Its totient is φ = 390304135872.

The previous prime is 1225325043091. The next prime is 1225325043127. The reversal of 1225325043126 is 6213405235221.

1225325043126 is a `hidden beast` number, since 1 + 2 + 25 + 3 + 2 + 504 + 3 + 126 = 666.

It is a super-2 number, since 2×12253250431262 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225325043127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110913735 + ... + 110924781.

It is an arithmetic number, because the mean of its divisors is an integer number (28902893760).

Almost surely, 21225325043126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1225325043126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387338900480).

1225325043126 is an abundant number, since it is smaller than the sum of its proper divisors (1549352757834).

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

1225325043126 is a wasteful number, since it uses less digits than its factorization.

1225325043126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13250 (or 13247 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 1225325043126 in words is "one trillion, two hundred twenty-five billion, three hundred twenty-five million, forty-three thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 29 58 87 103 174 206 261 309 522 618 927 1854 2063 2987 4126 5974 6189 8961 11047 12378 17922 18567 22094 26883 33141 37134 53766 59827 66282 99423 119654 179481 198846 212489 320363 358962 424978 538443 637467 640726 961089 1076886 1137841 1274934 1912401 1922178 2275682 2883267 3413523 3824802 5766534 6162181 6827046 10240569 12324362 18486543 20481138 22789961 32997389 36973086 45579922 55459629 65994778 68369883 98992167 110919258 136739766 197984334 205109649 296976501 410219298 593953002 660908869 1321817738 1982726607 2347365983 3965453214 4694731966 5948179821 7042097949 11896359642 14084195898 21126293847 42252587694 68073613507 136147227014 204220840521 408441681042 612662521563 1225325043126