Search a number
-
+
12010121020 = 2254389156913
BaseRepresentation
bin10110010111101101…
…11110011100111100
31011000000011100210001
423023312332130330
5144044042333040
65303430324044
7603423226042
oct131366763474
934000140701
1012010121020
115103444757
1223b21b9624
1311952994b1
1481d0d4392
154a45be59a
hex2cbdbe73c

12010121020 has 48 divisors (see below), whose sum is σ = 26097936480. Its totient is φ = 4639574016.

The previous prime is 12010121009. The next prime is 12010121047. The reversal of 12010121020 is 2012101021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12010120988 and 12010121006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1917 + ... + 154996.

It is an arithmetic number, because the mean of its divisors is an integer number (543707010).

Almost surely, 212010121020 is an apocalyptic number.

12010121020 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 12010121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13048968240).

12010121020 is an abundant number, since it is smaller than the sum of its proper divisors (14087815460).

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

12010121020 is a wasteful number, since it uses less digits than its factorization.

12010121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157054 (or 157052 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12010121020 its reverse (2012101021), we get a palindrome (14022222041).

The spelling of 12010121020 in words is "twelve billion, ten million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 89 172 178 215 356 430 445 860 890 1780 3827 7654 15308 19135 38270 76540 156913 313826 627652 784565 1569130 3138260 6747259 13494518 13965257 26989036 27930514 33736295 55861028 67472590 69826285 134945180 139652570 279305140 600506051 1201012102 2402024204 3002530255 6005060510 12010121020