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120124025542433 = 11244910692068333
BaseRepresentation
bin11011010100000010001101…
…110111110001011100100001
3120202022202002212201101112002
4123110002031313301130201
5111221103001014324213
61103252114314413345
734205450222664653
oct3324021567613441
9522282085641462
10120124025542433
1135303349878a00
1211580a11131255
1352048546097c3
142194068c986d3
15dd4a7cc29658
hex6d408ddf1721

120124025542433 has 24 divisors (see below), whose sum is σ = 132455075193000. Its totient is φ = 108858464225280.

The previous prime is 120124025542421. The next prime is 120124025542441. The reversal of 120124025542433 is 334245520421021.

It can be written as a sum of positive squares in 4 ways, for example, as 59999013285409 + 60125012257024 = 7745903^2 + 7754032^2 .

It is not a de Polignac number, because 120124025542433 - 210 = 120124025541409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120124025548433) by changing a digit.

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, 57043535 + ... + 59111867.

It is an arithmetic number, because the mean of its divisors is an integer number (5518961466375).

Almost surely, 2120124025542433 is an apocalyptic number.

It is an amenable number.

120124025542433 is a deficient number, since it is larger than the sum of its proper divisors (12331049650567).

120124025542433 is a wasteful number, since it uses less digits than its factorization.

120124025542433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069873 (or 2069862 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

Adding to 120124025542433 its reverse (334245520421021), we get a palindrome (454369545963454).

The spelling of 120124025542433 in words is "one hundred twenty trillion, one hundred twenty-four billion, twenty-five million, five hundred forty-two thousand, four hundred thirty-three".

Divisors: 1 11 121 449 1069 4939 11759 54329 129349 479981 2068333 5279791 22751663 58077701 250268293 928681517 2211047977 10215496687 24321527747 112370463557 267536805217 992760541673 10920365958403 120124025542433