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121671716474880 = 21235511131789113
BaseRepresentation
bin11011101010100011100111…
…011100001001000000000000
3120221210200222010020220200000
4123222203213130021000000
5111421432133404144010
61110435114230400000
734425330362600625
oct3352434734110000
9527720863226600
10121671716474880
113584a759a7a750
1211790963800000
1352b7794294660
142208d2a30634c
15e0ee61da57c0
hex6ea8e7709000

121671716474880 has 4992 divisors, whose sum is σ = 555032875138560. Its totient is φ = 25113479086080.

The previous prime is 121671716474873. The next prime is 121671716474899. The reversal of 121671716474880 is 88474617176121.

121671716474880 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 71 + 7 + 16 + 474 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (4992).

It is a super-4 number, since 4×1216717164748804 (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1076740853704 + ... + 1076740853816.

It is an arithmetic number, because the mean of its divisors is an integer number (111184470180).

Almost surely, 2121671716474880 is an apocalyptic number.

121671716474880 is a gapful number since it is divisible by the number (10) 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 121671716474880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277516437569280).

121671716474880 is an abundant number, since it is smaller than the sum of its proper divisors (433361158663680).

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

121671716474880 is a wasteful number, since it uses less digits than its factorization.

121671716474880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 25288704, while the sum is 63.

The spelling of 121671716474880 in words is "one hundred twenty-one trillion, six hundred seventy-one billion, seven hundred sixteen million, four hundred seventy-four thousand, eight hundred eighty".