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12422120130000 = 243254729679919
BaseRepresentation
bin1011010011000100000000…
…0011101100010111010000
31121222112122220120111122100
42310301000003230113100
53112011000223130000
642230350533240400
72421316500634320
oct264610003542720
947875586514570
1012422120130000
113a5a211a73279
1214875a6a93100
136c1529a21039
1430d33b873280
151681db776a00
hexb4c400ec5d0

12422120130000 has 600 divisors, whose sum is σ = 51360014534400. Its totient is φ = 2741429376000.

The previous prime is 12422120129989. The next prime is 12422120130109. The reversal of 12422120130000 is 3102122421.

It is a happy number.

12422120130000 is a `hidden beast` number, since 1 + 242 + 2 + 120 + 1 + 300 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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 119 ways as a sum of consecutive naturals, for example, 17930041 + ... + 18609959.

It is an arithmetic number, because the mean of its divisors is an integer number (85600024224).

Almost surely, 212422120130000 is an apocalyptic number.

12422120130000 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 12422120130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25680007267200).

12422120130000 is an abundant number, since it is smaller than the sum of its proper divisors (38937894404400).

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

12422120130000 is a wasteful number, since it uses less digits than its factorization.

12422120130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679989 (or 679965 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12422120130000 its reverse (3102122421), we get a palindrome (12425222252421).

The spelling of 12422120130000 in words is "twelve trillion, four hundred twenty-two billion, one hundred twenty million, one hundred thirty thousand".