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12402144300 = 223527131726723
BaseRepresentation
bin10111000110011100…
…11011010000101100
31012000022211012121210
423203032123100230
5200344422104200
65410352554420
7616223326050
oct134316332054
935008735553
1012402144300
115294761637
1224a1552a10
131228577130
148591bdc60
154c8c09650
hex2e339b42c

12402144300 has 288 divisors, whose sum is σ = 46764006912. Its totient is φ = 2462699520.

The previous prime is 12402144281. The next prime is 12402144311. The reversal of 12402144300 is 344120421.

12402144300 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 (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 450739 + ... + 477461.

It is an arithmetic number, because the mean of its divisors is an integer number (162375024).

Almost surely, 212402144300 is an apocalyptic number.

12402144300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12402144300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23382003456).

12402144300 is an abundant number, since it is smaller than the sum of its proper divisors (34361862612).

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

12402144300 is a wasteful number, since it uses less digits than its factorization.

12402144300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26777 (or 26770 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12402144300 its reverse (344120421), we get a palindrome (12746264721).

The spelling of 12402144300 in words is "twelve billion, four hundred two million, one hundred forty-four thousand, three hundred".