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120195043222500 = 22385427072
BaseRepresentation
bin11011010101000100010110…
…110110101110001111100100
3120202120112102020000100000000
4123111010112312232033210
5111223233422031110000
61103344501322021300
734213543135212621
oct3325042666561744
9522515366010000
10120195043222500
113533048246a084
1211592730947830
13520b4618417bc
142197684b01348
15dd6837860000
hex6d5116dae3e4

120195043222500 has 405 divisors, whose sum is σ = 394389442526079. Its totient is φ = 32040171108000.

The previous prime is 120195043222477. The next prime is 120195043222559. The reversal of 120195043222500 is 5222340591021.

The square root of 120195043222500 is 10963350.

It is a perfect power (a square), and thus also a powerful number.

120195043222500 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 95 + 0 + 43 + 2 + 22 + 500 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9423291388644 + 110771751833856 = 3069738^2 + 10524816^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 44401566147 + ... + 44401568853.

Almost surely, 2120195043222500 is an apocalyptic number.

120195043222500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120195043222500 is the 10963350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120195043222500

120195043222500 is an abundant number, since it is smaller than the sum of its proper divisors (274194399303579).

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

120195043222500 is an frugal number, since it uses more digits than its factorization.

120195043222500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5462 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

120195043222500 divided by its sum of digits (36) gives a square (3338751200625 = 18272252).

The spelling of 120195043222500 in words is "one hundred twenty trillion, one hundred ninety-five billion, forty-three million, two hundred twenty-two thousand, five hundred".