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121616160084 = 223210331326999
BaseRepresentation
bin111000101000011100…
…0110101010101010100
3102121220122021001100100
41301100320311111110
53443032214110314
6131511504214100
711533522206246
oct1612070652524
9377818231310
10121616160084
1147639174111
121b6a100a330
13b611c8a803
145c59c46096
15326bce7c09
hex1c50e35554

121616160084 has 36 divisors (see below), whose sum is σ = 307449324000. Its totient is φ = 40534672080.

The previous prime is 121616160079. The next prime is 121616160119. The reversal of 121616160084 is 480061616121.

121616160084 is a `hidden beast` number, since 1 + 21 + 616 + 16 + 0 + 0 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1216161600842 (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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 208417 + ... + 535415.

It is an arithmetic number, because the mean of its divisors is an integer number (8540259000).

Almost surely, 2121616160084 is an apocalyptic number.

It is an amenable number.

121616160084 is an abundant number, since it is smaller than the sum of its proper divisors (185833163916).

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

121616160084 is a wasteful number, since it uses less digits than its factorization.

121616160084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337340 (or 337335 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 121616160084 in words is "one hundred twenty-one billion, six hundred sixteen million, one hundred sixty thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 10331 20662 30993 41324 61986 92979 123972 185958 326999 371916 653998 980997 1307996 1961994 2942991 3923988 5885982 11771964 3378226669 6756453338 10134680007 13512906676 20269360014 30404040021 40538720028 60808080042 121616160084