Search a number
-
+
1201235220 = 22325411391171
BaseRepresentation
bin100011110011001…
…0110010100010100
310002201100001221100
41013212112110110
54430004011340
6315110350100
741524221333
oct10746262424
93081301840
101201235220
1156707a889
1229635b330
13161b37793
14b5771d1a
15706d1830
hex47996514

1201235220 has 144 divisors (see below), whose sum is σ = 3762682560. Its totient is φ = 310003200.

The previous prime is 1201235209. The next prime is 1201235227. The reversal of 1201235220 is 225321021.

1201235220 is a `hidden beast` number, since 1 + 20 + 123 + 522 + 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 = 1201235193 and 1201235202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201235227) 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, 1025235 + ... + 1026405.

It is an arithmetic number, because the mean of its divisors is an integer number (26129740).

Almost surely, 21201235220 is an apocalyptic number.

1201235220 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 1201235220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881341280).

1201235220 is an abundant number, since it is smaller than the sum of its proper divisors (2561447340).

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

1201235220 is a wasteful number, since it uses less digits than its factorization.

1201235220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1201235220 is about 34658.8404306895. The cubic root of 1201235220 is about 1063.0230600144.

Adding to 1201235220 its reverse (225321021), we get a palindrome (1426556241).

The spelling of 1201235220 in words is "one billion, two hundred one million, two hundred thirty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 139 164 180 205 246 278 369 410 417 492 556 615 695 738 820 834 1171 1230 1251 1390 1476 1668 1845 2085 2342 2460 2502 2780 3513 3690 4170 4684 5004 5699 5855 6255 7026 7380 8340 10539 11398 11710 12510 14052 17097 17565 21078 22796 23420 25020 28495 34194 35130 42156 48011 51291 52695 56990 68388 70260 85485 96022 102582 105390 113980 144033 162769 170970 192044 205164 210780 240055 256455 288066 325538 341940 432099 480110 488307 512910 576132 651076 720165 813845 864198 960220 976614 1025820 1440330 1464921 1627690 1728396 1953228 2160495 2441535 2880660 2929842 3255380 4320990 4883070 5859684 6673529 7324605 8641980 9766140 13347058 14649210 20020587 26694116 29298420 33367645 40041174 60061761 66735290 80082348 100102935 120123522 133470580 200205870 240247044 300308805 400411740 600617610 1201235220