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121121002000098 = 232293112920341613
BaseRepresentation
bin11011100010100010101110…
…010011001000111011100010
3120212212001110212210221122200
4123202202232103020323202
5111333421303003000343
61105334115320114030
734340463225026532
oct3342425623107342
9525761425727580
10121121002000098
1135658146013781
121170208a605916
13527787a36a229
1421ca40592b4c2
15e0097dceb4d3
hex6e28ae4c8ee2

121121002000098 has 48 divisors (see below), whose sum is σ = 263557749120120. Its totient is φ = 40200232764672.

The previous prime is 121121002000067. The next prime is 121121002000099. The reversal of 121121002000098 is 890000200121121.

It can be written as a sum of positive squares in 4 ways, for example, as 94727064925089 + 26393937075009 = 9732783^2 + 5137503^2 .

It is not an unprimeable number, because it can be changed into a prime (121121002000099) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4216461 + ... + 16125152.

Almost surely, 2121121002000098 is an apocalyptic number.

121121002000098 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

121121002000098 is an abundant number, since it is smaller than the sum of its proper divisors (142436747120022).

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

121121002000098 is a wasteful number, since it uses less digits than its factorization.

121121002000098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20343043 (or 20343040 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 121121002000098 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, two million, ninety-eight", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 293 586 879 1129 1758 2258 2637 3387 5274 6774 10161 20322 330797 661594 992391 1984782 2977173 5954346 20341613 40683226 61024839 122049678 183074517 366149034 5960092609 11920185218 17880277827 22965681077 35760555654 45931362154 53640833481 68897043231 107281666962 137794086462 206691129693 413382259386 6728944555561 13457889111122 20186833666683 40373667333366 60560501000049 121121002000098