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201223132002120 = 23351918779368761
BaseRepresentation
bin101101110000001011101001…
…010011011011011101001000
3222101110202002001021122000010
4231300023221103123131020
5202333314433243031440
61551544344121111520
760245614536640134
oct5560135123333510
9871422061248003
10201223132002120
1159130284158a68
121a69a4839285a0
13883834c0a28b7
14379937439c3c4
15183e41e961580
hexb702e94db748

201223132002120 has 64 divisors (see below), whose sum is σ = 606829968829440. Its totient is φ = 53378562060800.

The previous prime is 201223132002047. The next prime is 201223132002157. The reversal of 201223132002120 is 21200231322102.

201223132002120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2012231320021202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4389661461 + ... + 4389707300.

It is an arithmetic number, because the mean of its divisors is an integer number (9481718262960).

Almost surely, 2201223132002120 is an apocalyptic number.

201223132002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201223132002120 is an abundant number, since it is smaller than the sum of its proper divisors (405606836827320).

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

201223132002120 is a wasteful number, since it uses less digits than its factorization.

201223132002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8779368966 (or 8779368962 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 201223132002120 its reverse (21200231322102), we get a palindrome (222423363324222).

The spelling of 201223132002120 in words is "two hundred one trillion, two hundred twenty-three billion, one hundred thirty-two million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 191 382 573 764 955 1146 1528 1910 2292 2865 3820 4584 5730 7640 11460 22920 8779368761 17558737522 26338106283 35117475044 43896843805 52676212566 70234950088 87793687610 105352425132 131690531415 175587375220 210704850264 263381062830 351174750440 526762125660 1053524251320 1676859433351 3353718866702 5030578300053 6707437733404 8384297166755 10061156600106 13414875466808 16768594333510 20122313200212 25152891500265 33537188667020 40244626400424 50305783000530 67074377334040 100611566001060 201223132002120