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120742854868225 = 5234913838722621
BaseRepresentation
bin11011011101000010100010…
…111110010011110100000001
3120211111220102011021022011001
4123131002202332103310001
5111311222331321240400
61104444300214452001
734301245334321362
oct3335024276236401
9524456364238131
10120742854868225
11355218368a4677
1211660935964001
13524b0052475b5
1421b5db1b69b69
15de5beab6ba6a
hex6dd0a2f93d01

120742854868225 has 12 divisors (see below), whose sum is σ = 150150140448700. Its totient is φ = 96317509435200.

The previous prime is 120742854868219. The next prime is 120742854868241. The reversal of 120742854868225 is 522868458247021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7056848799729 + 113686006068496 = 2656473^2 + 10662364^2 .

It is a de Polignac number, because none of the positive numbers 2k-120742854868225 is a prime.

It is a super-3 number, since 3×1207428548682253 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (64) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 6919352586 + ... + 6919370035.

Almost surely, 2120742854868225 is an apocalyptic number.

It is an amenable number.

120742854868225 is a deficient number, since it is larger than the sum of its proper divisors (29407285580475).

120742854868225 is a wasteful number, since it uses less digits than its factorization.

120742854868225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13838722980 (or 13838722975 counting only the distinct ones).

The product of its (nonzero) digits is 137625600, while the sum is 64.

The spelling of 120742854868225 in words is "one hundred twenty trillion, seven hundred forty-two billion, eight hundred fifty-four million, eight hundred sixty-eight thousand, two hundred twenty-five".

Divisors: 1 5 25 349 1745 8725 13838722621 69193613105 345968065525 4829714194729 24148570973645 120742854868225