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121231020 = 223519229193
BaseRepresentation
bin1110011100111…
…01011010101100
322110010011200210
413032131122230
5222013343040
620010222420
73001306131
oct716353254
9273104623
10121231020
1162482729
1234724a10
131c168341
141215a588
15a99a480
hex739d6ac

121231020 has 144 divisors (see below), whose sum is σ = 372526560. Its totient is φ = 29417472.

The previous prime is 121231013. The next prime is 121231021. The reversal of 121231020 is 20132121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 121230987 and 121231005.

It is not an unprimeable number, because it can be changed into a prime (121231021) 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, 628044 + ... + 628236.

It is an arithmetic number, because the mean of its divisors is an integer number (2586990).

Almost surely, 2121231020 is an apocalyptic number.

121231020 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 121231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186263280).

121231020 is an abundant number, since it is smaller than the sum of its proper divisors (251295540).

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

121231020 is a wasteful number, since it uses less digits than its factorization.

121231020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 121231020 is about 11010.4959016386. The cubic root of 121231020 is about 494.9233224766.

Adding to 121231020 its reverse (20132121), we get a palindrome (141363141).

The spelling of 121231020 in words is "one hundred twenty-one million, two hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 29 30 38 57 58 60 76 87 95 114 116 145 174 190 193 228 285 290 348 361 380 386 435 551 570 579 580 722 772 870 965 1083 1102 1140 1158 1444 1653 1740 1805 1930 2166 2204 2316 2755 2895 3306 3610 3667 3860 4332 5415 5510 5597 5790 6612 7220 7334 8265 10469 10830 11001 11020 11194 11580 14668 16530 16791 18335 20938 21660 22002 22388 27985 31407 33060 33582 36670 41876 44004 52345 55005 55970 62814 67164 69673 73340 83955 104690 106343 110010 111940 125628 139346 157035 167910 209019 209380 212686 220020 278692 314070 319029 335820 348365 418038 425372 531715 628140 638058 696730 836076 1045095 1063430 1276116 1393460 1595145 2020517 2090190 2126860 3190290 4041034 4180380 6061551 6380580 8082068 10102585 12123102 20205170 24246204 30307755 40410340 60615510 121231020