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121431224232 = 23321686544781
BaseRepresentation
bin111000100010111011…
…1010110111110101000
3102121102202021100001100
41301011313112332220
53442142343133412
6131441300321400
711526115242543
oct1610567267650
9377382240040
10121431224232
114755384006a
121b64b0a3260
13b5b2879106
145c3d46585a
15325a966edc
hex1c45dd6fa8

121431224232 has 24 divisors (see below), whose sum is σ = 328876232490. Its totient is φ = 40477074720.

The previous prime is 121431224221. The next prime is 121431224287. The reversal of 121431224232 is 232422134121.

121431224232 is a `hidden beast` number, since 1 + 2 + 1 + 431 + 224 + 2 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 67405659876 + 54025564356 = 259626^2 + 232434^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 = 121431224196 and 121431224205.

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, 843272319 + ... + 843272462.

Almost surely, 2121431224232 is an apocalyptic number.

121431224232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121431224232 is an abundant number, since it is smaller than the sum of its proper divisors (207445008258).

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

121431224232 is a wasteful number, since it uses less digits than its factorization.

121431224232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686544793 (or 1686544786 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 121431224232 its reverse (232422134121), we get a palindrome (353853358353).

The spelling of 121431224232 in words is "one hundred twenty-one billion, four hundred thirty-one million, two hundred twenty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1686544781 3373089562 5059634343 6746179124 10119268686 13492358248 15178903029 20238537372 30357806058 40477074744 60715612116 121431224232