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120202112120002 = 211317914914973191
BaseRepresentation
bin11011010101001010111100…
…001100011011010011000010
3120202121012122212101112101121
4123111022330030123103002
5111223342411200320002
61103352031001022454
734214213251644343
oct3325127414332302
9522535585345347
10120202112120002
113533347a6a1430
1211593b84184a2a
13520c01a1bb4a3
142197b558740ca
15dd6aed238237
hex6d52bc31b4c2

120202112120002 has 64 divisors (see below), whose sum is σ = 206989406208000. Its totient is φ = 51855151608000.

The previous prime is 120202112119993. The next prime is 120202112120009. The reversal of 120202112120002 is 200021211202021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (120202112120009) 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 31 ways as a sum of consecutive naturals, for example, 541227 + ... + 15514417.

It is an arithmetic number, because the mean of its divisors is an integer number (3234209472000).

Almost surely, 2120202112120002 is an apocalyptic number.

120202112120002 is a deficient number, since it is larger than the sum of its proper divisors (86787294087998).

120202112120002 is a wasteful number, since it uses less digits than its factorization.

120202112120002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14973463.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 120202112120002 its reverse (200021211202021), we get a palindrome (320223323322023).

The spelling of 120202112120002 in words is "one hundred twenty trillion, two hundred two billion, one hundred twelve million, one hundred twenty thousand, two".

Divisors: 1 2 11 22 31 62 79 149 158 298 341 682 869 1639 1738 2449 3278 4619 4898 9238 11771 23542 26939 50809 53878 101618 129481 258962 364901 729802 4013911 8027822 14973191 29946382 164705101 329410202 464168921 928337842 1182882089 2231005459 2365764178 4462010918 5105858131 10211716262 13011702979 24541060049 26023405958 36669344759 49082120098 69161169229 73338689518 138322338458 176249431261 352498862522 403362792349 760772861519 806725584698 1521545723038 1938743743871 3877487487742 5463732369091 10927464738182 60101056060001 120202112120002