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121417151616 = 27322359101769
BaseRepresentation
bin111000100010100000…
…1101011010010000000
3102121101202210101001100
41301011001223102000
53442130242322431
6131440034534400
711525554521525
oct1610501532200
9377352711040
10121417151616
11475468a9102
121b646437400
13b5ac98c917
145c3b64114c
1532595d74e6
hex1c4506b480

121417151616 has 384 divisors, whose sum is σ = 374918544000. Its totient is φ = 37630771200.

The previous prime is 121417151567. The next prime is 121417151629. The reversal of 121417151616 is 616151714121.

121417151616 is a `hidden beast` number, since 1 + 2 + 14 + 17 + 15 + 1 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1214171516162 (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 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, 157889280 + ... + 157890048.

It is an arithmetic number, because the mean of its divisors is an integer number (976350375).

Almost surely, 2121417151616 is an apocalyptic number.

121417151616 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 121417151616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187459272000).

121417151616 is an abundant number, since it is smaller than the sum of its proper divisors (253501392384).

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

121417151616 is a wasteful number, since it uses less digits than its factorization.

121417151616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 957 counting only the distinct ones).

The product of its digits is 10080, while the sum is 36.

Adding to 121417151616 its reverse (616151714121), we get a palindrome (737568865737).

The spelling of 121417151616 in words is "one hundred twenty-one billion, four hundred seventeen million, one hundred fifty-one thousand, six hundred sixteen".