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121940352 = 2732151701
BaseRepresentation
bin1110100010010…
…10100110000000
322111110012201100
413101022212000
5222204042402
620033334400
73010322142
oct721124600
9274405640
10121940352
1162917656
1234a07400
131c356171
14122a2c92
15aa8a71c
hex744a980

121940352 has 96 divisors (see below), whose sum is σ = 353723760. Its totient is φ = 40320000.

The previous prime is 121940339. The next prime is 121940353. The reversal of 121940352 is 253049121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121940353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 173602 + ... + 174302.

Almost surely, 2121940352 is an apocalyptic number.

121940352 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 121940352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176861880).

121940352 is an abundant number, since it is smaller than the sum of its proper divisors (231783408).

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

121940352 is a wasteful number, since it uses less digits than its factorization.

121940352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 121940352 is about 11042.6605489800. The cubic root of 121940352 is about 495.8867240454.

Adding to 121940352 its reverse (253049121), we get a palindrome (374989473).

The spelling of 121940352 in words is "one hundred twenty-one million, nine hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 151 192 288 302 384 453 576 604 701 906 1152 1208 1359 1402 1812 2103 2416 2718 2804 3624 4206 4832 5436 5608 6309 7248 8412 9664 10872 11216 12618 14496 16824 19328 21744 22432 25236 28992 33648 43488 44864 50472 57984 67296 86976 89728 100944 105851 134592 173952 201888 211702 269184 317553 403776 423404 635106 807552 846808 952659 1270212 1693616 1905318 2540424 3387232 3810636 5080848 6774464 7621272 10161696 13548928 15242544 20323392 30485088 40646784 60970176 121940352