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120221320121133 = 37111667312200729
BaseRepresentation
bin11011010101011100110101…
…000101001000101100101101
3120202200001020111122002102220
4123111130311011020230231
5111224201230422334013
61103404524555105553
734215463246160550
oct3325346505105455
9522601214562386
10120221320121133
1135340637054a30
1211597844a422b9
135210a8b78502a
142198a588b4697
15dd73746acb23
hex6d5735148b2d

120221320121133 has 32 divisors (see below), whose sum is σ = 199968313973760. Its totient is φ = 62415169541760.

The previous prime is 120221320121129. The next prime is 120221320121137. The reversal of 120221320121133 is 331121023122021.

It is an interprime number because it is at equal distance from previous prime (120221320121129) and next prime (120221320121137).

It is not a de Polignac number, because 120221320121133 - 22 = 120221320121129 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120221320121137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155715288 + ... + 156485441.

It is an arithmetic number, because the mean of its divisors is an integer number (6249009811680).

Almost surely, 2120221320121133 is an apocalyptic number.

It is an amenable number.

120221320121133 is a deficient number, since it is larger than the sum of its proper divisors (79746993852627).

120221320121133 is a wasteful number, since it uses less digits than its factorization.

120221320121133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312202417.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 120221320121133 its reverse (331121023122021), we get a palindrome (451342343243154).

The spelling of 120221320121133 in words is "one hundred twenty trillion, two hundred twenty-one billion, three hundred twenty million, one hundred twenty-one thousand, one hundred thirty-three".

Divisors: 1 3 7 11 21 33 77 231 1667 5001 11669 18337 35007 55011 128359 385077 312200729 936602187 2185405103 3434208019 6556215309 10302624057 24039456133 72118368399 520438615243 1561315845729 3643070306701 5724824767673 10929210920103 17174474303019 40073773373711 120221320121133