Search a number
-
+
12070533367360 = 26513471012232741
BaseRepresentation
bin1010111110100110001111…
…0110101000011001000000
31120201221011020001102010201
42233221203312220121000
53040230423020223420
641401043152534544
72354032032521026
oct257514366503100
946657136042121
1012070533367360
1139340a2453746
12142b425251454
136973284a2c10
142da307394716
1515deb028b10a
hexafa63da8640

12070533367360 has 448 divisors, whose sum is σ = 32080408141824. Its totient is φ = 4297863168000.

The previous prime is 12070533367351. The next prime is 12070533367369. The reversal of 12070533367360 is 6376333507021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12070533367351) and next prime (12070533367369).

It is a super-2 number, since 2×120705333673602 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12070533367360.

It is not an unprimeable number, because it can be changed into a prime (12070533367369) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4403695590 + ... + 4403698330.

It is an arithmetic number, because the mean of its divisors is an integer number (71608053888).

Almost surely, 212070533367360 is an apocalyptic number.

12070533367360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12070533367360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16040204070912).

12070533367360 is an abundant number, since it is smaller than the sum of its proper divisors (20009874774464).

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

12070533367360 is a wasteful number, since it uses less digits than its factorization.

12070533367360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142 (or 3132 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 46.

The spelling of 12070533367360 in words is "twelve trillion, seventy billion, five hundred thirty-three million, three hundred sixty-seven thousand, three hundred sixty".