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121332420 = 2232511233263
BaseRepresentation
bin1110011101101…
…10001011000100
322110022022210100
413032312023010
5222030114140
620012324100
73002210556
oct716661304
9273268710
10121332420
1162541930
1234773630
131c1a2541
14121854d6
15a9ba530
hex73b62c4

121332420 has 144 divisors (see below), whose sum is σ = 404756352. Its totient is φ = 29176320.

The previous prime is 121332401. The next prime is 121332437. The reversal of 121332420 is 24233121.

121332420 is a `hidden beast` number, since 1 + 213 + 32 + 420 = 666.

It is a super-2 number, since 2×1213324202 = 29443112286112800, which contains 22 as substring.

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 = 121332393 and 121332402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 461209 + ... + 461471.

It is an arithmetic number, because the mean of its divisors is an integer number (2810808).

Almost surely, 2121332420 is an apocalyptic number.

121332420 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 121332420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202378176).

121332420 is an abundant number, since it is smaller than the sum of its proper divisors (283423932).

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

121332420 is a wasteful number, since it uses less digits than its factorization.

121332420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 121332420 is about 11015.0996364082. The cubic root of 121332420 is about 495.0612718766.

Adding to 121332420 its reverse (24233121), we get a palindrome (145565541).

It can be divided in two parts, 1213 and 32420, that added together give a palindrome (33633).

The spelling of 121332420 in words is "one hundred twenty-one million, three hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 233 263 330 396 466 495 526 660 699 789 932 990 1052 1165 1315 1398 1578 1980 2097 2330 2367 2563 2630 2796 2893 3156 3495 3945 4194 4660 4734 5126 5260 5786 6990 7689 7890 8388 8679 9468 10252 10485 11572 11835 12815 13980 14465 15378 15780 17358 20970 23067 23670 25630 26037 28930 30756 34716 38445 41940 43395 46134 47340 51260 52074 57860 61279 76890 86790 92268 104148 115335 122558 130185 153780 173580 183837 230670 245116 260370 306395 367674 461340 520740 551511 612790 674069 735348 919185 1103022 1225580 1348138 1838370 2022207 2206044 2696276 2757555 3370345 3676740 4044414 5515110 6066621 6740690 8088828 10111035 11030220 12133242 13481380 20222070 24266484 30333105 40444140 60666210 121332420