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121021095806424 = 23321153103105126633
BaseRepresentation
bin11011100001000101101011…
…011011010000010111011000
3120212111111121020200110111100
4123201011223123100113120
5111330302201011301144
61105220153543431400
734330325400266052
oct3341055333202730
9525444536613440
10121021095806424
1135619838629770
12116a6848155560
13526b3181130b8
1421c56491288d2
15ded082e41269
hex6e116b6d05d8

121021095806424 has 384 divisors, whose sum is σ = 368209586833920. Its totient is φ = 35596544256000.

The previous prime is 121021095806417. The next prime is 121021095806473. The reversal of 121021095806424 is 424608590120121.

121021095806424 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 2 + 1 + 0 + 9 + 580 + 64 + 2 + 4 = 666.

It is a super-2 number, since 2×1210210958064242 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121021095806424.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4544014612 + ... + 4544041244.

It is an arithmetic number, because the mean of its divisors is an integer number (958879132380).

Almost surely, 2121021095806424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121021095806424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184104793416960).

121021095806424 is an abundant number, since it is smaller than the sum of its proper divisors (247188491027496).

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

121021095806424 is a wasteful number, since it uses less digits than its factorization.

121021095806424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27863 (or 27856 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 121021095806424 in words is "one hundred twenty-one trillion, twenty-one billion, ninety-five million, eight hundred six thousand, four hundred twenty-four".