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121401840 = 24357127569
BaseRepresentation
bin1110011110001…
…11000111110000
322110102212000110
413033013013300
5222034324330
620014021320
73002620140
oct717070760
9273385013
10121401840
1162589aaa
12347a7840
131c1c8011
14121a2920
15a9d0db0
hex73c71f0

121401840 has 160 divisors (see below), whose sum is σ = 434257920. Its totient is φ = 27482112.

The previous prime is 121401829. The next prime is 121401851. The reversal of 121401840 is 48104121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121401829) and next prime (121401851).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213076 + ... + 213644.

It is an arithmetic number, because the mean of its divisors is an integer number (2714112).

Almost surely, 2121401840 is an apocalyptic number.

121401840 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 121401840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217128960).

121401840 is an abundant number, since it is smaller than the sum of its proper divisors (312856080).

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

121401840 is a wasteful number, since it uses less digits than its factorization.

121401840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 121401840 is about 11018.2503148186. The cubic root of 121401840 is about 495.1556698433.

Adding to 121401840 its reverse (48104121), we get a palindrome (169505961).

The spelling of 121401840 in words is "one hundred twenty-one million, four hundred one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 127 140 168 210 240 254 280 336 381 420 508 560 569 635 762 840 889 1016 1138 1270 1524 1680 1707 1778 1905 2032 2276 2540 2667 2845 3048 3414 3556 3810 3983 4445 4552 5080 5334 5690 6096 6828 7112 7620 7966 8535 8890 9104 10160 10668 11380 11949 13335 13656 14224 15240 15932 17070 17780 19915 21336 22760 23898 26670 27312 30480 31864 34140 35560 39830 42672 45520 47796 53340 59745 63728 68280 71120 72263 79660 95592 106680 119490 136560 144526 159320 191184 213360 216789 238980 289052 318640 361315 433578 477960 505841 578104 722630 867156 955920 1011682 1083945 1156208 1445260 1517523 1734312 2023364 2167890 2529205 2890520 3035046 3468624 4046728 4335780 5058410 5781040 6070092 7587615 8093456 8671560 10116820 12140184 15175230 17343120 20233640 24280368 30350460 40467280 60700920 121401840