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121411123411104 = 2532421566400733
BaseRepresentation
bin11011100110110000111010…
…111000011111100010100000
3120220212210022221102122212100
4123212300322320133202200
5111403144440043123404
61110115300004530400
734400443551236202
oct3346607270374240
9526783287378770
10121411123411104
113575a193a9093a
121174a3576b0a00
1352990346aa8b7
1421da488ab2772
15e082ae0d0d39
hex6e6c3ae1f8a0

121411123411104 has 36 divisors (see below), whose sum is σ = 345262882201146. Its totient is φ = 40470374470272.

The previous prime is 121411123411093. The next prime is 121411123411129. The reversal of 121411123411104 is 401114321114121.

121411123411104 is a `hidden beast` number, since 1 + 2 + 1 + 411 + 1 + 234 + 1 + 1 + 10 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 118833981210000 + 2577142201104 = 10901100^2 + 1605348^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 210783200079 + ... + 210783200654.

Almost surely, 2121411123411104 is an apocalyptic number.

It is an amenable number.

121411123411104 is an abundant number, since it is smaller than the sum of its proper divisors (223851758790042).

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

121411123411104 is a wasteful number, since it uses less digits than its factorization.

121411123411104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421566400749 (or 421566400738 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

Adding to 121411123411104 its reverse (401114321114121), we get a palindrome (522525444525225).

The spelling of 121411123411104 in words is "one hundred twenty-one trillion, four hundred eleven billion, one hundred twenty-three million, four hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 421566400733 843132801466 1264699202199 1686265602932 2529398404398 3372531205864 3794097606597 5058796808796 6745062411728 7588195213194 10117593617592 13490124823456 15176390426388 20235187235184 30352780852776 40470374470368 60705561705552 121411123411104