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12400024230 = 232511173719913
BaseRepresentation
bin10111000110001100…
…10101101010100110
31012000011211111102200
423203012111222212
5200343401233410
65410235315330
7616166316066
oct134306255246
935004744380
1012400024230
115293543810
1224a08abb46
131227cb4159
14858bcb3a6
154c893b3c0
hex2e3195aa6

12400024230 has 192 divisors, whose sum is σ = 38248262208. Its totient is φ = 2752634880.

The previous prime is 12400024229. The next prime is 12400024393. The reversal of 12400024230 is 3242000421.

12400024230 is a `hidden beast` number, since 1 + 240 + 0 + 0 + 2 + 423 + 0 = 666.

12400024230 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 (18).

It is a congruent number.

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, 612754 + ... + 632666.

It is an arithmetic number, because the mean of its divisors is an integer number (199209699).

Almost surely, 212400024230 is an apocalyptic number.

12400024230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12400024230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19124131104).

12400024230 is an abundant number, since it is smaller than the sum of its proper divisors (25848237978).

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

12400024230 is a wasteful number, since it uses less digits than its factorization.

12400024230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19991 (or 19988 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 12400024230 its reverse (3242000421), we get a palindrome (15642024651).

The spelling of 12400024230 in words is "twelve billion, four hundred million, twenty-four thousand, two hundred thirty".