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121967352 = 233213130307
BaseRepresentation
bin1110100010100…
…01001011111000
322111111120202100
413101101023320
5222210423402
620034103400
73010463643
oct721211370
9274446670
10121967352
1162935971
1234a1ab60
131c365540
14122aca5a
15aa9371c
hex74512f8

121967352 has 48 divisors (see below), whose sum is σ = 355740840. Its totient is φ = 37528128.

The previous prime is 121967323. The next prime is 121967353. The reversal of 121967352 is 253769121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121967353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64218 + ... + 66089.

Almost surely, 2121967352 is an apocalyptic number.

121967352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121967352 is an abundant number, since it is smaller than the sum of its proper divisors (233773488).

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

121967352 is a wasteful number, since it uses less digits than its factorization.

121967352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130332 (or 130325 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 121967352 is about 11043.8830127813. The cubic root of 121967352 is about 495.9233210462.

The spelling of 121967352 in words is "one hundred twenty-one million, nine hundred sixty-seven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 130307 260614 390921 521228 781842 1042456 1172763 1563684 1693991 2345526 3127368 3387982 4691052 5081973 6775964 9382104 10163946 13551928 15245919 20327892 30491838 40655784 60983676 121967352