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12402342000 = 243353241953
BaseRepresentation
bin10111000110011110…
…01011100001110000
31012000100012020211000
423203033023201300
5200344444421000
65410401122000
7616225111326
oct134317134160
935010166730
1012402342000
115294887124
1224a1629300
131228616109
14859231d16
154c8c48000
hex2e33cb870

12402342000 has 320 divisors, whose sum is σ = 44659105920. Its totient is φ = 3290112000.

The previous prime is 12402341989. The next prime is 12402342011. The reversal of 12402342000 is 24320421.

12402342000 is a `hidden beast` number, since 1 + 240 + 2 + 3 + 420 + 0 + 0 = 666.

12402342000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12402341989) and next prime (12402342011).

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 63 ways as a sum of consecutive naturals, for example, 13013524 + ... + 13014476.

It is an arithmetic number, because the mean of its divisors is an integer number (139559706).

Almost surely, 212402342000 is an apocalyptic number.

12402342000 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 12402342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22329552960).

12402342000 is an abundant number, since it is smaller than the sum of its proper divisors (32256763920).

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

12402342000 is a wasteful number, since it uses less digits than its factorization.

12402342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1204 counting only the distinct ones).

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

Adding to 12402342000 its reverse (24320421), we get a palindrome (12426662421).

The spelling of 12402342000 in words is "twelve billion, four hundred two million, three hundred forty-two thousand".