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2012212002120 = 233523970160809
BaseRepresentation
bin11101010010000001001…
…011100111110101001000
321010100212111212211112220
4131102001023213311020
5230432002233031440
64140221502334040
7265243326544545
oct35220113476510
97110774784486
102012212002120
11706413242821
12285b9188a320
1311799b5c6128
146d56a6d5bcc
15375201788d0
hex1d4812e7d48

2012212002120 has 64 divisors (see below), whose sum is σ = 6061893984000. Its totient is φ = 534344713728.

The previous prime is 2012212002071. The next prime is 2012212002133. The reversal of 2012212002120 is 212002122102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2012212002120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35051725 + ... + 35109084.

It is an arithmetic number, because the mean of its divisors is an integer number (94717093500).

Almost surely, 22012212002120 is an apocalyptic number.

2012212002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012212002120 is an abundant number, since it is smaller than the sum of its proper divisors (4049681981880).

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

2012212002120 is a wasteful number, since it uses less digits than its factorization.

2012212002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70161062 (or 70161058 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2012212002120 its reverse (212002122102), we get a palindrome (2224214124222).

The spelling of 2012212002120 in words is "two trillion, twelve billion, two hundred twelve million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 239 478 717 956 1195 1434 1912 2390 2868 3585 4780 5736 7170 9560 14340 28680 70160809 140321618 210482427 280643236 350804045 420964854 561286472 701608090 841929708 1052412135 1403216180 1683859416 2104824270 2806432360 4209648540 8419297080 16768433351 33536866702 50305300053 67073733404 83842166755 100610600106 134147466808 167684333510 201221200212 251526500265 335368667020 402442400424 503053000530 670737334040 1006106001060 2012212002120