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121394560 = 2757479
BaseRepresentation
bin1110011110001…
…01010110000000
322110102111000211
413033011112000
5222034111220
620013523504
73002560000
oct717052600
9273374024
10121394560
1162584591
12347a3594
131c1c4901
14121a0000
15a9cdb5a
hex73c5580

121394560 has 160 divisors (see below), whose sum is σ = 342842400. Its totient is φ = 41094144.

The previous prime is 121394557. The next prime is 121394573. The reversal of 121394560 is 65493121.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1536601 + ... + 1536679.

It is an arithmetic number, because the mean of its divisors is an integer number (2142765).

Almost surely, 2121394560 is an apocalyptic number.

121394560 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 121394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171421200).

121394560 is an abundant number, since it is smaller than the sum of its proper divisors (221447840).

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

121394560 is an frugal number, since it uses more digits than its factorization.

121394560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 121394560 is about 11017.9199488833. The cubic root of 121394560 is about 495.1457721204.

The spelling of 121394560 in words is "one hundred twenty-one million, three hundred ninety-four thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 79 80 98 112 128 140 158 160 196 224 245 280 316 320 343 392 395 448 490 553 560 632 640 686 784 790 896 980 1106 1120 1264 1372 1568 1580 1715 1960 2212 2240 2401 2528 2744 2765 3136 3160 3430 3871 3920 4424 4480 4802 5056 5488 5530 6272 6320 6860 7742 7840 8848 9604 10112 10976 11060 12005 12640 13720 15484 15680 17696 19208 19355 21952 22120 24010 25280 27097 27440 30968 31360 35392 38416 38710 43904 44240 48020 50560 54194 54880 61936 70784 76832 77420 88480 96040 108388 109760 123872 135485 153664 154840 176960 189679 192080 216776 219520 247744 270970 307328 309680 353920 379358 384160 433552 495488 541940 619360 758716 768320 867104 948395 1083880 1238720 1517432 1536640 1734208 1896790 2167760 2477440 3034864 3468416 3793580 4335520 6069728 7587160 8671040 12139456 15174320 17342080 24278912 30348640 60697280 121394560