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120031221130200 = 23335257140999497
BaseRepresentation
bin11011010010101011110010…
…010011000010001111011000
3120201222212120011211210001000
4123102223302103002033120
5111213042420102131300
61103141325354025000
734165653361335312
oct3322536223021730
9521885504753030
10120031221130200
1135277a56136456
1211566a31118160
1351c8b847a3c03
14218d7837487b2
15dd244a590c00
hex6d2af24c23d8

120031221130200 has 384 divisors, whose sum is σ = 414309598560000. Its totient is φ = 31941110246400.

The previous prime is 120031221130199. The next prime is 120031221130213. The reversal of 120031221130200 is 2031122130021.

120031221130200 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 312 + 21 + 130 + 200 = 666.

120031221130200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12638851852 + ... + 12638861348.

It is an arithmetic number, because the mean of its divisors is an integer number (1078931246250).

Almost surely, 2120031221130200 is an apocalyptic number.

120031221130200 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 120031221130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207154799280000).

120031221130200 is an abundant number, since it is smaller than the sum of its proper divisors (294278377429800).

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

120031221130200 is a wasteful number, since it uses less digits than its factorization.

120031221130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14192 (or 14177 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120031221130200 its reverse (2031122130021), we get a palindrome (122062343260221).

The spelling of 120031221130200 in words is "one hundred twenty trillion, thirty-one billion, two hundred twenty-one million, one hundred thirty thousand, two hundred".