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121245460 = 22571922399
BaseRepresentation
bin1110011101000…
…00111100010100
322110010220111121
413032200330110
5222014323320
620010413324
73001366210
oct716407424
9273126447
10121245460
1162492566
1234731244
131c171a9b
1412161940
15a99e8aa
hex73a0f14

121245460 has 72 divisors (see below), whose sum is σ = 307238400. Its totient is φ = 39365568.

The previous prime is 121245427. The next prime is 121245461. The reversal of 121245460 is 64542121.

It is a happy number.

It is a super-2 number, since 2×1212454602 = 29400923141223200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121245461) 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 23 ways as a sum of consecutive naturals, for example, 49341 + ... + 51739.

It is an arithmetic number, because the mean of its divisors is an integer number (4267200).

Almost surely, 2121245460 is an apocalyptic number.

121245460 is a gapful number since it is divisible by the number (10) 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 121245460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153619200).

121245460 is an abundant number, since it is smaller than the sum of its proper divisors (185992940).

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

121245460 is a wasteful number, since it uses less digits than its factorization.

121245460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 121245460 is about 11011.1516200623. The cubic root of 121245460 is about 494.9429720378.

Adding to 121245460 its reverse (64542121), we get a palindrome (185787581).

The spelling of 121245460 in words is "one hundred twenty-one million, two hundred forty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 361 380 532 665 722 1330 1444 1805 2399 2527 2660 3610 4798 5054 7220 9596 10108 11995 12635 16793 23990 25270 33586 45581 47980 50540 67172 83965 91162 167930 182324 227905 319067 335860 455810 638134 866039 911620 1276268 1595335 1732078 3190670 3464156 4330195 6062273 6381340 8660390 12124546 17320780 24249092 30311365 60622730 121245460