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121720340 = 225717199257
BaseRepresentation
bin1110100000101…
…00111000010100
322111001000220202
413100110320110
5222130022330
620024520032
73005414540
oct720247024
9274030822
10121720340
1162787325
1234920018
131c2a9c91
1412246a20
15aa45445
hex7414e14

121720340 has 96 divisors (see below), whose sum is σ = 312076800. Its totient is φ = 38928384.

The previous prime is 121720331. The next prime is 121720369. The reversal of 121720340 is 43027121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 473492 + ... + 473748.

It is an arithmetic number, because the mean of its divisors is an integer number (3250800).

Almost surely, 2121720340 is an apocalyptic number.

121720340 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 121720340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156038400).

121720340 is an abundant number, since it is smaller than the sum of its proper divisors (190356460).

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

121720340 is a wasteful number, since it uses less digits than its factorization.

121720340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 121720340 is about 11032.6941405987. The cubic root of 121720340 is about 495.5883084417.

Adding to 121720340 its reverse (43027121), we get a palindrome (164747461).

The spelling of 121720340 in words is "one hundred twenty-one million, seven hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 199 238 257 340 398 476 514 595 796 995 1028 1190 1285 1393 1799 1990 2380 2570 2786 3383 3598 3980 4369 5140 5572 6766 6965 7196 8738 8995 13532 13930 16915 17476 17990 21845 23681 27860 30583 33830 35980 43690 47362 51143 61166 67660 87380 94724 102286 118405 122332 152915 204572 236810 255715 305830 358001 473620 511430 611660 716002 869431 1022860 1432004 1738862 1790005 3477724 3580010 4347155 6086017 7160020 8694310 12172034 17388620 24344068 30430085 60860170 121720340