Search a number
-
+
1285120887312 = 24365940627241
BaseRepresentation
bin10010101100110111001…
…011001000101000010000
311112212010021200012202110
4102230313023020220100
5132023411421343222
62422213144345320
7161563331210163
oct22546713105020
94485107605673
101285120887312
11456020268649
12189094475240
1394256626152
14462b3431ada
1523667a3e30c
hex12b372c8a10

1285120887312 has 40 divisors (see below), whose sum is σ = 3324933485280. Its totient is φ = 427723582720.

The previous prime is 1285120887311. The next prime is 1285120887313. The reversal of 1285120887312 is 2137880215821.

It is an interprime number because it is at equal distance from previous prime (1285120887311) and next prime (1285120887313).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1285120887311) 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 7 ways as a sum of consecutive naturals, for example, 20281989 + ... + 20345252.

It is an arithmetic number, because the mean of its divisors is an integer number (83123337132).

Almost surely, 21285120887312 is an apocalyptic number.

1285120887312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1285120887312 is an abundant number, since it is smaller than the sum of its proper divisors (2039812597968).

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

1285120887312 is a wasteful number, since it uses less digits than its factorization.

1285120887312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40627911 (or 40627905 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 48.

The spelling of 1285120887312 in words is "one trillion, two hundred eighty-five billion, one hundred twenty million, eight hundred eighty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 659 1318 1977 2636 3954 5272 7908 10544 15816 31632 40627241 81254482 121881723 162508964 243763446 325017928 487526892 650035856 975053784 1950107568 26773351819 53546703638 80320055457 107093407276 160640110914 214186814552 321280221828 428373629104 642560443656 1285120887312