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121660320 = 25351132243
BaseRepresentation
bin1110100000001…
…10001110100000
322110220222120210
413100012032200
5222121112240
620023334120
73005044545
oct720061640
9273828523
10121660320
1162746221
12348b1340
131c288872
141222cbcc
15aa32780
hex74063a0

121660320 has 96 divisors (see below), whose sum is σ = 386793792. Its totient is φ = 32141312.

The previous prime is 121660223. The next prime is 121660349. The reversal of 121660320 is 23066121.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53119 + ... + 55361.

It is an arithmetic number, because the mean of its divisors is an integer number (4029102).

Almost surely, 2121660320 is an apocalyptic number.

121660320 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 121660320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193396896).

121660320 is an abundant number, since it is smaller than the sum of its proper divisors (265133472).

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

121660320 is a wasteful number, since it uses less digits than its factorization.

121660320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 121660320 is about 11029.9737080376. The cubic root of 121660320 is about 495.5068372575.

The spelling of 121660320 in words is "one hundred twenty-one million, six hundred sixty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 113 120 160 226 240 339 452 480 565 678 904 1130 1356 1695 1808 2243 2260 2712 3390 3616 4486 4520 5424 6729 6780 8972 9040 10848 11215 13458 13560 17944 18080 22430 26916 27120 33645 35888 44860 53832 54240 67290 71776 89720 107664 134580 179440 215328 253459 269160 358880 506918 538320 760377 1013836 1076640 1267295 1520754 2027672 2534590 3041508 3801885 4055344 5069180 6083016 7603770 8110688 10138360 12166032 15207540 20276720 24332064 30415080 40553440 60830160 121660320