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120011221012221 = 32711369314689187
BaseRepresentation
bin11011010010011001001010…
…001100101000111011111101
3120201220221221100002111221200
4123102121022030220323331
5111212230440034342341
61103124221022050113
734164344635210410
oct3322311214507375
9521827840074850
10120011221012221
113526a522636830
1211562b8b119939
1351c7018087686
14218c807431b77
15dd1b797eedb6
hex6d264a328efd

120011221012221 has 48 divisors (see below), whose sum is σ = 216130001837568. Its totient is φ = 62341790032800.

The previous prime is 120011221012211. The next prime is 120011221012229. The reversal of 120011221012221 is 122210122110021.

120011221012221 is a `hidden beast` number, since 1 + 200 + 11 + 221 + 0 + 12 + 221 = 666.

It is not a de Polignac number, because 120011221012221 - 213 = 120011221004029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120011221012194 and 120011221012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120011221012229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23248590 + ... + 27937776.

It is an arithmetic number, because the mean of its divisors is an integer number (4502708371616).

Almost surely, 2120011221012221 is an apocalyptic number.

120011221012221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120011221012221 is a deficient number, since it is larger than the sum of its proper divisors (96118780825347).

120011221012221 is a wasteful number, since it uses less digits than its factorization.

120011221012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4726142 (or 4726139 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120011221012221 its reverse (122210122110021), we get a palindrome (242221343122242).

The spelling of 120011221012221 in words is "one hundred twenty trillion, eleven billion, two hundred twenty-one million, twelve thousand, two hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 36931 110793 258517 332379 406241 775551 1218723 2326653 2843687 3656169 4689187 8531061 14067561 25593183 32824309 42202683 51581057 98472927 154743171 295418781 361067399 464229513 1083202197 3249606591 173176365097 519529095291 1212234555679 1558587285873 1904940016067 3636703667037 5714820048201 10910111001111 13334580112469 17144460144603 40003740337407 120011221012221