Search a number
-
+
12001012000220 = 2253915715324223
BaseRepresentation
bin1010111010100011010000…
…0011101010010111011100
31120111021201011100001010002
42232220310003222113130
53033111033033001340
641305104440433432
72346021156613325
oct256506403522734
946437634301102
1012001012000220
113907667454621
121419a62778878
136908c926bb99
142d6bd017144c
1515c291bc2715
hexaea340ea5dc

12001012000220 has 24 divisors (see below), whose sum is σ = 25202770462464. Its totient is φ = 4800281893056.

The previous prime is 12001012000193. The next prime is 12001012000247. The reversal of 12001012000220 is 2200021010021.

It is a happy number.

12001012000220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12001012000193) and next prime (12001012000247).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6878972 + ... + 8445251.

It is an arithmetic number, because the mean of its divisors is an integer number (1050115435936).

Almost surely, 212001012000220 is an apocalyptic number.

12001012000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001012000220 is an abundant number, since it is smaller than the sum of its proper divisors (13201758462244).

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

12001012000220 is a wasteful number, since it uses less digits than its factorization.

12001012000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15363389 (or 15363387 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12001012000220 its reverse (2200021010021), we get a palindrome (14201033010241).

The spelling of 12001012000220 in words is "twelve trillion, one billion, twelve million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 39157 78314 156628 195785 391570 783140 15324223 30648446 61296892 76621115 153242230 306484460 600050600011 1200101200022 2400202400044 3000253000055 6000506000110 12001012000220