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13212213121200 = 2435211010177601
BaseRepresentation
bin1100000001000011010101…
…0001010001000010110000
31201210002000211221001110010
43000100311101101002300
53212432103024334300
644033335032134520
72532356646355632
oct300206521210260
951702024831403
1013212213121200
1142342a4957695
121594747537440
1374aba233b812
14339690160a52
1517da2ee28a50
hexc04354510b0

13212213121200 has 60 divisors (see below), whose sum is σ = 42323122702088. Its totient is φ = 3523256832000.

The previous prime is 13212213121189. The next prime is 13212213121337. The reversal of 13212213121200 is 212131221231.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5505087601 + ... + 5505090000.

Almost surely, 213212213121200 is an apocalyptic number.

13212213121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13212213121200 is an abundant number, since it is smaller than the sum of its proper divisors (29110909580888).

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

13212213121200 is a wasteful number, since it uses less digits than its factorization.

13212213121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11010177622 (or 11010177611 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 13212213121200 its reverse (212131221231), we get a palindrome (13424344342431).

The spelling of 13212213121200 in words is "thirteen trillion, two hundred twelve billion, two hundred thirteen million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 11010177601 22020355202 33030532803 44040710404 55050888005 66061065606 88081420808 110101776010 132122131212 165152664015 176162841616 220203552020 264244262424 275254440025 330305328030 440407104040 528488524848 550508880050 660610656060 825763320075 880814208080 1101017760100 1321221312120 1651526640150 2202035520200 2642442624240 3303053280300 4404071040400 6606106560600 13212213121200