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12121432000 = 26535961421
BaseRepresentation
bin10110100100111111…
…00101111111000000
31011021202121112201221
423102133211333000
5144311041311000
65322444204424
7606244320616
oct132237457700
934252545657
1012121432000
1151602612a7
122423539714
1311b2370492
1482dbcb6b6
154ae25a61a
hex2d27e5fc0

12121432000 has 224 divisors, whose sum is σ = 31101670080. Its totient is φ = 4677120000.

The previous prime is 12121431991. The next prime is 12121432019. The reversal of 12121432000 is 23412121.

It is a super-2 number, since 2×121214320002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28791790 + ... + 28792210.

Almost surely, 212121432000 is an apocalyptic number.

12121432000 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 12121432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15550835040).

12121432000 is an abundant number, since it is smaller than the sum of its proper divisors (18980238080).

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

12121432000 is an equidigital number, since it uses as much as digits as its factorization.

12121432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12121432000 its reverse (23412121), we get a palindrome (12144844121).

The spelling of 12121432000 in words is "twelve billion, one hundred twenty-one million, four hundred thirty-two thousand".