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12412303400400 = 2435210343586167
BaseRepresentation
bin1011010010011111011011…
…1011110101110111010000
31121221121022202122222020120
42310213312323311313100
53111330344132303100
642222044454510240
72420521310051361
oct264476673656720
947847282588216
1012412303400400
113a56034755002
121485707365380
136c0623cb11b7
1430ca89bb9b68
15167d14a1b0a0
hexb49f6ef5dd0

12412303400400 has 60 divisors (see below), whose sum is σ = 39760745229792. Its totient is φ = 3309947573120.

The previous prime is 12412303400377. The next prime is 12412303400401. The reversal of 12412303400400 is 400430321421.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12412303400401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5171791884 + ... + 5171794283.

Almost surely, 212412303400400 is an apocalyptic number.

12412303400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12412303400400 is an abundant number, since it is smaller than the sum of its proper divisors (27348441829392).

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

12412303400400 is a wasteful number, since it uses less digits than its factorization.

12412303400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10343586188 (or 10343586177 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12412303400400 its reverse (400430321421), we get a palindrome (12812733721821).

The spelling of 12412303400400 in words is "twelve trillion, four hundred twelve billion, three hundred three million, four hundred thousand, four 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 10343586167 20687172334 31030758501 41374344668 51717930835 62061517002 82748689336 103435861670 124123034004 155153792505 165497378672 206871723340 248246068008 258589654175 310307585010 413743446680 496492136016 517179308350 620615170020 775768962525 827486893360 1034358616700 1241230340040 1551537925050 2068717233400 2482460680080 3103075850100 4137434466800 6206151700200 12412303400400