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121154220 = 2232511431423
BaseRepresentation
bin1110011100010…
…10101010101100
322102222021100100
413032022222230
5222003413340
620004431100
73000536205
oct716125254
9272867310
10121154220
116242aa60
12346a8490
131c13c3b5
141213a5ac
15a982830
hex738aaac

121154220 has 144 divisors (see below), whose sum is σ = 410522112. Its totient is φ = 28667520.

The previous prime is 121154197. The next prime is 121154227. The reversal of 121154220 is 22451121.

121154220 is a `hidden beast` number, since 121 + 1 + 542 + 2 + 0 = 666.

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 = 121154193 and 121154202.

It is not an unprimeable number, because it can be changed into a prime (121154227) 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, 84429 + ... + 85851.

It is an arithmetic number, because the mean of its divisors is an integer number (2850848).

Almost surely, 2121154220 is an apocalyptic number.

121154220 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 121154220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205261056).

121154220 is an abundant number, since it is smaller than the sum of its proper divisors (289367892).

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

121154220 is a wasteful number, since it uses less digits than its factorization.

121154220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 121154220 is about 11007.0077677814. The cubic root of 121154220 is about 494.8187888886.

The spelling of 121154220 in words is "one hundred twenty-one million, one hundred fifty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 43 44 45 55 60 66 86 90 99 110 129 132 165 172 180 198 215 220 258 330 387 396 430 473 495 516 645 660 774 860 946 990 1290 1419 1423 1548 1892 1935 1980 2365 2580 2838 2846 3870 4257 4269 4730 5676 5692 7095 7115 7740 8514 8538 9460 12807 14190 14230 15653 17028 17076 21285 21345 25614 28380 28460 31306 42570 42690 46959 51228 61189 62612 64035 78265 85140 85380 93918 122378 128070 140877 156530 183567 187836 234795 244756 256140 281754 305945 313060 367134 469590 550701 563508 611890 673079 704385 734268 917835 939180 1101402 1223780 1346158 1408770 1835670 2019237 2202804 2692316 2753505 2817540 3365395 3671340 4038474 5507010 6057711 6730790 8076948 10096185 11014020 12115422 13461580 20192370 24230844 30288555 40384740 60577110 121154220