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121444224 = 2731128751
BaseRepresentation
bin1110011110100…
…01011110000000
322110112000011020
413033101132000
5222042203344
620014545440
73003154536
oct717213600
9273460136
10121444224
1162608930
1234808280
131c2113b5
14121b4156
15a9dd719
hex73d1780

121444224 has 64 divisors (see below), whose sum is σ = 351924480. Its totient is φ = 36800000.

The previous prime is 121444207. The next prime is 121444241. The reversal of 121444224 is 422444121.

It is an interprime number because it is at equal distance from previous prime (121444207) and next prime (121444241).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (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 = 121444194 and 121444203.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10152 + ... + 18599.

It is an arithmetic number, because the mean of its divisors is an integer number (5498820).

Almost surely, 2121444224 is an apocalyptic number.

It is an amenable number.

121444224 is an abundant number, since it is smaller than the sum of its proper divisors (230480256).

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

121444224 is a wasteful number, since it uses less digits than its factorization.

121444224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28779 (or 28767 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 121444224 is about 11020.1735013565. The cubic root of 121444224 is about 495.2132863124.

Adding to 121444224 its reverse (422444121), we get a palindrome (543888345).

The spelling of 121444224 in words is "one hundred twenty-one million, four hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 28751 57502 86253 115004 172506 230008 316261 345012 460016 632522 690024 920032 948783 1265044 1380048 1840064 1897566 2530088 2760096 3680128 3795132 5060176 5520192 7590264 10120352 11040384 15180528 20240704 30361056 40481408 60722112 121444224