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121321332 = 223211306367
BaseRepresentation
bin1110011101100…
…11011101110100
322110021202120200
413032303131310
5222024240312
620012200500
73002133336
oct716633564
9273252520
10121321332
1162534570
1234769130
131c19a492
1412181456
15a9b70dc
hex73b3774

121321332 has 36 divisors (see below), whose sum is σ = 334553856. Its totient is φ = 36763920.

The previous prime is 121321307. The next prime is 121321339. The reversal of 121321332 is 233123121.

121321332 is a `hidden beast` number, since 12 + 1 + 321 + 332 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121321339) by changing a digit.

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, 152788 + ... + 153579.

Almost surely, 2121321332 is an apocalyptic number.

121321332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121321332 is an abundant number, since it is smaller than the sum of its proper divisors (213232524).

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

121321332 is a wasteful number, since it uses less digits than its factorization.

121321332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306388 (or 306383 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 121321332 is about 11014.5963157984. The cubic root of 121321332 is about 495.0461909757.

Adding to 121321332 its reverse (233123121), we get a palindrome (354444453).

The spelling of 121321332 in words is "one hundred twenty-one million, three hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 306367 612734 919101 1225468 1838202 2757303 3370037 3676404 5514606 6740074 10110111 11029212 13480148 20220222 30330333 40440444 60660666 121321332