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121399520 = 25511232999
BaseRepresentation
bin1110011110001…
…10100011100000
322110102201211112
413033012203200
5222034241040
620014002452
73002610314
oct717064340
9273381745
10121399520
1162588290
12347a6428
131c1c6c48
14121a1b44
15a9d0365
hex73c68e0

121399520 has 96 divisors (see below), whose sum is σ = 326592000. Its totient is φ = 42211840.

The previous prime is 121399519. The next prime is 121399547. The reversal of 121399520 is 25993121.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 15 ways as a sum of consecutive naturals, for example, 38981 + ... + 41979.

It is an arithmetic number, because the mean of its divisors is an integer number (3402000).

Almost surely, 2121399520 is an apocalyptic number.

121399520 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 121399520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163296000).

121399520 is an abundant number, since it is smaller than the sum of its proper divisors (205192480).

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

121399520 is a wasteful number, since it uses less digits than its factorization.

121399520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 32.

The square root of 121399520 is about 11018.1450344420. The cubic root of 121399520 is about 495.1525156669.

The spelling of 121399520 in words is "one hundred twenty-one million, three hundred ninety-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 80 88 92 110 115 160 176 184 220 230 253 352 368 440 460 506 736 880 920 1012 1265 1760 1840 2024 2530 2999 3680 4048 5060 5998 8096 10120 11996 14995 20240 23992 29990 32989 40480 47984 59980 65978 68977 95968 119960 131956 137954 164945 239920 263912 275908 329890 344885 479840 527824 551816 659780 689770 758747 1055648 1103632 1319560 1379540 1517494 2207264 2639120 2759080 3034988 3793735 5278240 5518160 6069976 7587470 11036320 12139952 15174940 24279904 30349880 60699760 121399520