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12142403000 = 23537131747167
BaseRepresentation
bin10110100111011111…
…00101110110111000
31011100020001222112122
423103233211312320
5144331423344000
65324513500412
7606620502560
oct132357456670
934306058478
1012142403000
115171085102
12242a571708
1311b6803860
148328c9da0
154b0eee085
hex2d3be5db8

12142403000 has 512 divisors, whose sum is σ = 38041436160. Its totient is φ = 3518668800.

The previous prime is 12142402991. The next prime is 12142403003. The reversal of 12142403000 is 30424121.

It is a super-2 number, since 2×121424030002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 12142403000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12142403003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72708917 + ... + 72709083.

It is an arithmetic number, because the mean of its divisors is an integer number (74299680).

Almost surely, 212142403000 is an apocalyptic number.

12142403000 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 12142403000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19020718080).

12142403000 is an abundant number, since it is smaller than the sum of its proper divisors (25899033160).

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

12142403000 is a wasteful number, since it uses less digits than its factorization.

12142403000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 12142403000 its reverse (30424121), we get a palindrome (12172827121).

The spelling of 12142403000 in words is "twelve billion, one hundred forty-two million, four hundred three thousand".