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121233460 = 225172337419
BaseRepresentation
bin1110011100111…
…10000000110100
322110010022001011
413032132000310
5222013432320
620010242004
73001316215
oct716360064
9273108034
10121233460
1162484547
1234726304
131c16949a
141215b40c
15a99b05a
hex739e034

121233460 has 96 divisors (see below), whose sum is σ = 289578240. Its totient is φ = 42375168.

The previous prime is 121233457. The next prime is 121233473. The reversal of 121233460 is 64332121.

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 31 ways as a sum of consecutive naturals, for example, 289131 + ... + 289549.

It is an arithmetic number, because the mean of its divisors is an integer number (3016440).

Almost surely, 2121233460 is an apocalyptic number.

121233460 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 121233460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144789120).

121233460 is an abundant number, since it is smaller than the sum of its proper divisors (168344780).

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

121233460 is a wasteful number, since it uses less digits than its factorization.

121233460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 121233460 is about 11010.6067044464. The cubic root of 121233460 is about 494.9266428721.

Adding to 121233460 its reverse (64332121), we get a palindrome (185565581).

The spelling of 121233460 in words is "one hundred twenty-one million, two hundred thirty-three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 20 23 34 37 46 68 74 85 92 115 148 170 185 230 340 370 391 419 460 629 740 782 838 851 1258 1564 1676 1702 1955 2095 2516 3145 3404 3910 4190 4255 6290 7123 7820 8380 8510 9637 12580 14246 14467 15503 17020 19274 28492 28934 31006 35615 38548 48185 57868 62012 71230 72335 77515 96370 142460 144670 155030 163829 192740 263551 289340 310060 327658 356569 527102 655316 713138 819145 1054204 1317755 1426276 1638290 1782845 2635510 3276580 3565690 5271020 6061673 7131380 12123346 24246692 30308365 60616730 121233460