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120000401114111 = 7253593379112551
BaseRepresentation
bin11011010010001111000101…
…010010000000001111111111
3120201212221000021112202001122
4123102033011102000033333
5111212041310141122421
61103115231230101155
734163512543456100
oct3322170522001777
9521787007482048
10120000401114111
1135265980030181
1211560a6b64a7bb
1351c5cb256b3bb
14218c09c4443a7
15dd17449892ab
hex6d23c54803ff

120000401114111 has 96 divisors (see below), whose sum is σ = 145282088540160. Its totient is φ = 98764638336000.

The previous prime is 120000401114059. The next prime is 120000401114141. The reversal of 120000401114111 is 111411104000021.

It is not a de Polignac number, because 120000401114111 - 222 = 120000396919807 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 120000401114111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120000401114141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47040532286 + ... + 47040534836.

It is an arithmetic number, because the mean of its divisors is an integer number (1513355088960).

Almost surely, 2120000401114111 is an apocalyptic number.

120000401114111 is a deficient number, since it is larger than the sum of its proper divisors (25281687426049).

120000401114111 is a wasteful number, since it uses less digits than its factorization.

120000401114111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3925 (or 3918 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 120000401114111 its reverse (111411104000021), we get a palindrome (231411505114132).

The spelling of 120000401114111 in words is "one hundred twenty trillion, four hundred one million, one hundred fourteen thousand, one hundred eleven".

Divisors: 1 7 49 53 59 337 371 413 911 2359 2551 2597 2891 3127 6377 16513 17857 17861 19883 21889 44639 48283 53749 124999 125027 135203 139181 150509 153223 307007 337981 376243 859687 875189 946421 974267 1053563 1053799 2149049 2323961 2365867 2633701 2848697 6017809 6624947 7374941 7376593 7976977 15043343 16267727 16271371 18113413 19940879 42124663 45563411 50721533 51636151 55838839 113874089 113899597 123169933 126793891 137113699 139586153 318943877 355050731 390871873 783174857 797297179 862189531 887557237 959795893 960010889 2232607139 2485355117 2688241249 5482223999 6035326717 6718571251 6720076223 7267026047 18817688743 38375567993 41508267421 46207316563 47040533561 50869182329 131723821201 290557871947 323451215941 356084276303 2033905103629 2264158511587 2448987777839 17142914444873 120000401114111