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120534121444 = 221126140110181
BaseRepresentation
bin111000001000001100…
…1001011101111100100
3102112010020012210101011
41300100121023233210
53433323213341234
6131212252312004
711464643061532
oct1602031135744
9375106183334
10120534121444
1147133407500
121b43a772604
13b49ba58369
145b96261152
153206d0db64
hex1c1064bbe4

120534121444 has 72 divisors (see below), whose sum is σ = 236265612408. Its totient is φ = 53750400000.

The previous prime is 120534121441. The next prime is 120534121447. The reversal of 120534121444 is 444121435021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120534121441) and next prime (120534121447).

It can be written as a sum of positive squares in 4 ways, for example, as 25940967844 + 94593153600 = 161062^2 + 307560^2 .

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (120534121441) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11834034 + ... + 11844214.

It is an arithmetic number, because the mean of its divisors is an integer number (3281466839).

Almost surely, 2120534121444 is an apocalyptic number.

It is an amenable number.

120534121444 is a deficient number, since it is larger than the sum of its proper divisors (115731490964).

120534121444 is a wasteful number, since it uses less digits than its factorization.

120534121444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10669 (or 10656 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 120534121444 its reverse (444121435021), we get a palindrome (564655556465).

The spelling of 120534121444 in words is "one hundred twenty billion, five hundred thirty-four million, one hundred twenty-one thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 44 61 121 122 242 244 401 484 671 802 1342 1604 2684 4411 7381 8822 10181 14762 17644 20362 24461 29524 40724 48521 48922 97042 97844 111991 194084 223982 269071 447964 538142 621041 1076284 1231901 1242082 2463802 2484164 2959781 4082581 4927604 5919562 6831451 8165162 11839124 13662902 16330324 27325804 44908391 75145961 89816782 150291922 179633564 249037441 300583844 493992301 498074882 987984602 996149764 1975969204 2739411851 5478823702 10957647404 30133530361 60267060722 120534121444