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120032310000 = 2435419316793
BaseRepresentation
bin110111111001001111…
…0111011001011110000
3102110211020222010111010
41233302132323023300
53431311232410000
6131050404550520
711446340541441
oct1576236731360
9373736863433
10120032310000
11469a61230a9
121b31a6b2440
13b41baba905
145b497572c8
1531c7c38d50
hex1bf27bb2f0

120032310000 has 400 divisors, whose sum is σ = 421093207040. Its totient is φ = 29341440000.

The previous prime is 120032309911. The next prime is 120032310077. The reversal of 120032310000 is 13230021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×1200323100002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17666604 + ... + 17673396.

Almost surely, 2120032310000 is an apocalyptic number.

120032310000 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 120032310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210546603520).

120032310000 is an abundant number, since it is smaller than the sum of its proper divisors (301060897040).

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

120032310000 is a wasteful number, since it uses less digits than its factorization.

120032310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6874 (or 6853 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 120032310000 its reverse (13230021), we get a palindrome (120045540021).

The spelling of 120032310000 in words is "one hundred twenty billion, thirty-two million, three hundred ten thousand".