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12000201220000 = 2554785715723
BaseRepresentation
bin1010111010100000001110…
…1110110001111110100000
31120111012121122201010202001
42232220003232301332200
53033102403003020000
641304452154533344
72345662113240520
oct256500356617640
946435548633661
1012000201220000
113907290820424
121419877137254
136907ca2b3286
142d6b545db680
1515c24591b46a
hexaea03bb1fa0

12000201220000 has 120 divisors (see below), whose sum is σ = 33739766143776. Its totient is φ = 4114354656000.

The previous prime is 12000201219931. The next prime is 12000201220009. The reversal of 12000201220000 is 2210200021.

12000201220000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (12000201220009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 42717862 + ... + 42997861.

Almost surely, 212000201220000 is an apocalyptic number.

12000201220000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000201220000 is an abundant number, since it is smaller than the sum of its proper divisors (21739564923776).

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

12000201220000 is an frugal number, since it uses more digits than its factorization.

12000201220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85715760 (or 85715737 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12000201220000 its reverse (2210200021), we get a palindrome (12002411420021).

The spelling of 12000201220000 in words is "twelve trillion, two hundred one million, two hundred twenty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 625 700 800 875 1000 1120 1250 1400 1750 2000 2500 2800 3500 4000 4375 5000 5600 7000 8750 10000 14000 17500 20000 28000 35000 70000 140000 85715723 171431446 342862892 428578615 600010061 685725784 857157230 1200020122 1371451568 1714314460 2142893075 2400040244 2742903136 3000050305 3428628920 4285786150 4800080488 6000100610 6857257840 8571572300 9600160976 10714465375 12000201220 13714515680 15000251525 17143144600 19200321952 21428930750 24000402440 30000503050 34286289200 42857861500 48000804880 53572326875 60001006100 68572578400 75001257625 85715723000 96001609760 107144653750 120002012200 150002515250 171431446000 214289307500 240004024400 300005030500 342862892000 375006288125 428578615000 480008048800 600010061000 750012576250 857157230000 1200020122000 1500025152500 1714314460000 2400040244000 3000050305000 6000100610000 12000201220000