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12013313220 = 22325292301401
BaseRepresentation
bin10110011000000110…
…01001110011000100
31011000020011112122200
423030003021303010
5144100402010340
65304022554500
7603462322536
oct131403116304
934006145580
1012013313220
115105225037
1223b3298a30
131195b4647c
1481d6c5856
154a4a00330
hex2cc0c9cc4

12013313220 has 72 divisors (see below), whose sum is σ = 37696964760. Its totient is φ = 3093081600.

The previous prime is 12013313209. The next prime is 12013313237. The reversal of 12013313220 is 2231331021.

12013313220 is a `hidden beast` number, since 12 + 0 + 1 + 331 + 322 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3620188224 + 8393124996 = 60168^2 + 91614^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12013313193 and 12013313202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1145481 + ... + 1155920.

It is an arithmetic number, because the mean of its divisors is an integer number (523568955).

Almost surely, 212013313220 is an apocalyptic number.

12013313220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12013313220 is an abundant number, since it is smaller than the sum of its proper divisors (25683651540).

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

12013313220 is a wasteful number, since it uses less digits than its factorization.

12013313220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2301445 (or 2301440 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12013313220 its reverse (2231331021), we get a palindrome (14244644241).

The spelling of 12013313220 in words is "twelve billion, thirteen million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 2301401 4602802 6904203 9205604 11507005 13808406 20712609 23014010 27616812 34521015 41425218 46028020 66740629 69042030 82850436 103563045 133481258 138084060 200221887 207126090 266962516 333703145 400443774 414252180 600665661 667406290 800887548 1001109435 1201331322 1334812580 2002218870 2402662644 3003328305 4004437740 6006656610 12013313220