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120011021211001 = 312254948992309
BaseRepresentation
bin11011010010011000111110…
…010010011101010101111001
3120201220221102102010120012111
4123102120332102131111321
5111212230032412223001
61103124145123412321
734164336661011514
oct3322307622352571
9521827372116174
10120011021211001
113526a42a87a158
1211562b342240a1
1351c6cb586c9bb
14218c7c8aa1d7b
15dd1b66ed4851
hex6d263e49d579

120011021211001 has 12 divisors (see below), whose sum is σ = 124055877766500. Its totient is φ = 116094132729120.

The previous prime is 120011021210893. The next prime is 120011021211071. The reversal of 120011021211001 is 100112120110021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 82070644711225 + 37940376499776 = 9059285^2 + 6159576^2 .

It is not a de Polignac number, because 120011021211001 - 239 = 119461265397113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120011021211071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22046566 + ... + 26945743.

It is an arithmetic number, because the mean of its divisors is an integer number (10337989813875).

Almost surely, 2120011021211001 is an apocalyptic number.

It is an amenable number.

120011021211001 is a deficient number, since it is larger than the sum of its proper divisors (4044856555499).

120011021211001 is an equidigital number, since it uses as much as digits as its factorization.

120011021211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48994920 (or 48994889 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 120011021211001 its reverse (100112120110021), we get a palindrome (220123141321022).

The spelling of 120011021211001 in words is "one hundred twenty trillion, eleven billion, twenty-one million, two hundred eleven thousand, one".

Divisors: 1 31 961 2549 79019 2449589 48992309 1518761579 47081608949 124881395641 3871323264871 120011021211001