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1201312311200 = 255211313288853
BaseRepresentation
bin10001011110110011110…
…010110010011110100000
311020211210112001102111222
4101132303302302132200
5124140241422424300
62315513015554212
7152535432110141
oct21366362623640
94224715042458
101201312311200
11423523532a01
121749a508b968
138938b443501
1442202931ac8
15213b000d785
hex117b3cb27a0

1201312311200 has 72 divisors (see below), whose sum is σ = 2958657032268. Its totient is φ = 476272455680.

The previous prime is 1201312311191. The next prime is 1201312311257. The reversal of 1201312311200 is 21132131021.

It can be written as a sum of positive squares in 6 ways, for example, as 124922661136 + 1076389650064 = 353444^2 + 1037492^2 .

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, 6554027 + ... + 6734826.

Almost surely, 21201312311200 is an apocalyptic number.

1201312311200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201312311200 is an abundant number, since it is smaller than the sum of its proper divisors (1757344721068).

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

1201312311200 is a wasteful number, since it uses less digits than its factorization.

1201312311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13288986 (or 13288973 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1201312311200 its reverse (21132131021), we get a palindrome (1222444442221).

The spelling of 1201312311200 in words is "one trillion, two hundred one billion, three hundred twelve million, three hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 113 160 200 226 400 452 565 800 904 1130 1808 2260 2825 3616 4520 5650 9040 11300 18080 22600 45200 90400 13288853 26577706 53155412 66444265 106310824 132888530 212621648 265777060 332221325 425243296 531554120 664442650 1063108240 1328885300 1501640389 2126216480 2657770600 3003280778 5315541200 6006561556 7508201945 10631082400 12013123112 15016403890 24026246224 30032807780 37541009725 48052492448 60065615560 75082019450 120131231120 150164038900 240262462240 300328077800 600656155600 1201312311200