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121090104576 = 2833721721031
BaseRepresentation
bin111000011000110001…
…0000101110100000000
3102120112222101122212000
41300301202011310000
53440443031321301
6131343353104000
711514503622600
oct1606142056400
9376488348760
10121090104576
11473992308a1
121b5749b8000
13b559cb1c6c
145c0a02ac00
15323aa34786
hex1c31885d00

121090104576 has 432 divisors, whose sum is σ = 441071326080. Its totient is φ = 32560496640.

The previous prime is 121090104557. The next prime is 121090104589. The reversal of 121090104576 is 675401090121.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×1210901045762 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 121090104576.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5747181 + ... + 5768211.

It is an arithmetic number, because the mean of its divisors is an integer number (1020998440).

Almost surely, 2121090104576 is an apocalyptic number.

121090104576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121090104576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220535663040).

121090104576 is an abundant number, since it is smaller than the sum of its proper divisors (319981221504).

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

121090104576 is a wasteful number, since it uses less digits than its factorization.

121090104576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21087 (or 21060 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

Adding to 121090104576 its reverse (675401090121), we get a palindrome (796491194697).

The spelling of 121090104576 in words is "one hundred twenty-one billion, ninety million, one hundred four thousand, five hundred seventy-six".