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1201222020 = 223537717621
BaseRepresentation
bin100011110011001…
…0011000110000100
310002201022101211110
41013212103012010
54430003101040
6315110205020
741524135005
oct10746230604
93081271743
101201222020
11567070979
12296353770
13161b3177b
14b576b1ac
15706cc980
hex47993184

1201222020 has 96 divisors (see below), whose sum is σ = 3503437056. Its totient is φ = 307238400.

The previous prime is 1201221961. The next prime is 1201222027. The reversal of 1201222020 is 202221021.

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 = 1201221987 and 1201222005.

It is not an unprimeable number, because it can be changed into a prime (1201222027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153810 + ... + 161430.

It is an arithmetic number, because the mean of its divisors is an integer number (36494136).

Almost surely, 21201222020 is an apocalyptic number.

1201222020 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 1201222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751718528).

1201222020 is an abundant number, since it is smaller than the sum of its proper divisors (2302215036).

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

1201222020 is a wasteful number, since it uses less digits than its factorization.

1201222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7741 (or 7739 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1201222020 is about 34658.6500025607. The cubic root of 1201222020 is about 1063.0191662569.

Adding to 1201222020 its reverse (202221021), we get a palindrome (1403443041).

Subtracting from 1201222020 its reverse (202221021), we obtain a palindrome (999000999).

The spelling of 1201222020 in words is "one billion, two hundred one million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 71 74 111 142 148 185 213 222 284 355 370 426 444 555 710 740 852 1065 1110 1420 2130 2220 2627 4260 5254 7621 7881 10508 13135 15242 15762 22863 26270 30484 31524 38105 39405 45726 52540 76210 78810 91452 114315 152420 157620 228630 281977 457260 541091 563954 845931 1082182 1127908 1409885 1623273 1691862 2164364 2705455 2819770 3246546 3383724 4229655 5410910 5639540 6493092 8116365 8459310 10821820 16232730 16918620 20020367 32465460 40040734 60061101 80081468 100101835 120122202 200203670 240244404 300305505 400407340 600611010 1201222020