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121411620 = 2232511173607
BaseRepresentation
bin1110011110010…
…01100000100100
322110110100102200
413033021200210
5222040132440
620014134500
73002660511
oct717114044
9273410380
10121411620
1162596390
12347b1430
131c1cc5c5
14121a6308
15a9d3c30
hex73c9824

121411620 has 144 divisors (see below), whose sum is σ = 425513088. Its totient is φ = 27694080.

The previous prime is 121411613. The next prime is 121411627. The reversal of 121411620 is 26114121.

121411620 is a `hidden beast` number, since 1 + 2 + 1 + 41 + 1 + 620 = 666.

It is an interprime number because it is at equal distance from previous prime (121411613) and next prime (121411627).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121411593 and 121411602.

It is not an unprimeable number, because it can be changed into a prime (121411627) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31857 + ... + 35463.

It is an arithmetic number, because the mean of its divisors is an integer number (2954952).

Almost surely, 2121411620 is an apocalyptic number.

121411620 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 121411620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212756544).

121411620 is an abundant number, since it is smaller than the sum of its proper divisors (304101468).

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

121411620 is a wasteful number, since it uses less digits than its factorization.

121411620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3650 (or 3645 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 121411620 is about 11018.6941150029. The cubic root of 121411620 is about 495.1689658868.

Adding to 121411620 its reverse (26114121), we get a palindrome (147525741).

The spelling of 121411620 in words is "one hundred twenty-one million, four hundred eleven thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 17 18 20 22 30 33 34 36 44 45 51 55 60 66 68 85 90 99 102 110 132 153 165 170 180 187 198 204 220 255 306 330 340 374 396 495 510 561 612 660 748 765 935 990 1020 1122 1530 1683 1870 1980 2244 2805 3060 3366 3607 3740 5610 6732 7214 8415 10821 11220 14428 16830 18035 21642 32463 33660 36070 39677 43284 54105 61319 64926 72140 79354 108210 119031 122638 129852 158708 162315 183957 198385 216420 238062 245276 306595 324630 357093 367914 396770 476124 551871 595155 613190 649260 674509 714186 735828 793540 919785 1103742 1190310 1226380 1349018 1428372 1785465 1839570 2023527 2207484 2380620 2698036 2759355 3372545 3570930 3679140 4047054 5518710 6070581 6745090 7141860 8094108 10117635 11037420 12141162 13490180 20235270 24282324 30352905 40470540 60705810 121411620