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121333332 = 223291512309
BaseRepresentation
bin1110011101101…
…10011001010100
322110022101001010
413032312121110
5222030131312
620012332220
73002213331
oct716663124
9273271033
10121333332
116254258a
1234774070
131c1a2a93
1412185988
15a9ba93c
hex73b6654

121333332 has 48 divisors (see below), whose sum is σ = 294940800. Its totient is φ = 38774400.

The previous prime is 121333327. The next prime is 121333337. The reversal of 121333332 is 233333121.

It is an interprime number because it is at equal distance from previous prime (121333327) and next prime (121333337).

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 = 121333299 and 121333308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121333337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51394 + ... + 53702.

It is an arithmetic number, because the mean of its divisors is an integer number (6144600).

Almost surely, 2121333332 is an apocalyptic number.

121333332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121333332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147470400).

121333332 is an abundant number, since it is smaller than the sum of its proper divisors (173607468).

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

121333332 is a wasteful number, since it uses less digits than its factorization.

121333332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 2494 counting only the distinct ones).

The product of its digits is 972, while the sum is 21.

The square root of 121333332 is about 11015.1410340495. The cubic root of 121333332 is about 495.0625122562.

Adding to 121333332 its reverse (233333121), we get a palindrome (354666453).

The spelling of 121333332 in words is "one hundred twenty-one million, three hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 151 174 302 348 453 604 906 1812 2309 4379 4618 6927 8758 9236 13137 13854 17516 26274 27708 52548 66961 133922 200883 267844 348659 401766 697318 803532 1045977 1394636 2091954 4183908 10111111 20222222 30333333 40444444 60666666 121333332