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121441412232 = 23327234422169
BaseRepresentation
bin111000100011001111…
…0001110010010001000
3102121110110102221100200
41301012132032102020
53442203000142412
6131442302532200
711526300654300
oct1610636162210
9377413387320
10121441412232
11475595694a8
121b652597060
13b5b4a0540a
145c40958600
15325b7ca9dc
hex1c4678e488

121441412232 has 72 divisors (see below), whose sum is σ = 382602419550. Its totient is φ = 34697545344.

The previous prime is 121441412231. The next prime is 121441412291. The reversal of 121441412232 is 232214144121.

121441412232 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 414 + 12 + 232 = 666.

It can be written as a sum of positive squares in only one way, i.e., 83085756516 + 38355655716 = 288246^2 + 195846^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 121441412196 and 121441412205.

It is not an unprimeable number, because it can be changed into a prime (121441412231) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17207557 + ... + 17214612.

Almost surely, 2121441412232 is an apocalyptic number.

121441412232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121441412232 is an abundant number, since it is smaller than the sum of its proper divisors (261161007318).

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

121441412232 is a wasteful number, since it uses less digits than its factorization.

121441412232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34422195 (or 34422181 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 121441412232 its reverse (232214144121), we get a palindrome (353655556353).

The spelling of 121441412232 in words is "one hundred twenty-one billion, four hundred forty-one million, four hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 34422169 68844338 103266507 137688676 206533014 240955183 275377352 309799521 413066028 481910366 619599042 722865549 826132056 963820732 1239198084 1445731098 1686686281 1927641464 2168596647 2478396168 2891462196 3373372562 4337193294 5060058843 5782924392 6746745124 8674386588 10120117686 13493490248 15180176529 17348773176 20240235372 30360353058 40480470744 60720706116 121441412232