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1130010012120 = 233511277824381
BaseRepresentation
bin10000011100011001110…
…110000110100111011000
311000000202100012100011010
4100130121312012213120
5122003230030341440
62223041444133520
7144432462423153
oct20343166064730
94000670170133
101130010012120
113a6264213300
121630060972a0
13827372675b2
143c99ad9ac9a
151e5da406580
hex10719d869d8

1130010012120 has 96 divisors (see below), whose sum is σ = 3726231410160. Its totient is φ = 273941817600.

The previous prime is 1130010012119. The next prime is 1130010012121. The reversal of 1130010012120 is 212100100311.

It is an interprime number because it is at equal distance from previous prime (1130010012119) and next prime (1130010012121).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1130010012096 and 1130010012105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130010012121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38897671 + ... + 38926710.

Almost surely, 21130010012120 is an apocalyptic number.

1130010012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1130010012120 is an abundant number, since it is smaller than the sum of its proper divisors (2596221398040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1130010012120 is a wasteful number, since it uses less digits than its factorization.

1130010012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77824417 (or 77824402 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 1130010012120 its reverse (212100100311), we get a palindrome (1342110112431).

The spelling of 1130010012120 in words is "one trillion, one hundred thirty billion, ten million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 968 1210 1320 1452 1815 2420 2904 3630 4840 7260 14520 77824381 155648762 233473143 311297524 389121905 466946286 622595048 778243810 856068191 933892572 1167365715 1556487620 1712136382 1867785144 2334731430 2568204573 3112975240 3424272764 4280340955 4669462860 5136409146 6848545528 8560681910 9338925720 9416750101 10272818292 12841022865 17121363820 18833500202 20545636584 25682045730 28250250303 34242727640 37667000404 47083750505 51364091460 56500500606 75334000808 94167501010 102728182920 113001001212 141251251515 188335002020 226002002424 282502503030 376670004040 565005006060 1130010012120