Search a number
-
+
20021212021120 = 275199131570991
BaseRepresentation
bin1001000110101100011010…
…01110110000000110000000
32121220000020200121211022121
410203112031032300012000
510111011420234133440
6110325341241214024
74134325204152022
oct443261516600600
977800220554277
1020021212021120
116419a48263502
1222b42b3491314
13b22cb8b0161b
144d30634c2012
1524abe721434a
hex12358d3b0180

20021212021120 has 64 divisors (see below), whose sum is σ = 47865644072640. Its totient is φ = 8008077537280.

The previous prime is 20021212021099. The next prime is 20021212021121. The reversal of 20021212021120 is 2112021212002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20021212021094 and 20021212021103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20021212021121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11958825 + ... + 13529815.

It is an arithmetic number, because the mean of its divisors is an integer number (747900688635).

Almost surely, 220021212021120 is an apocalyptic number.

20021212021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20021212021120 is an abundant number, since it is smaller than the sum of its proper divisors (27844432051520).

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

20021212021120 is a wasteful number, since it uses less digits than its factorization.

20021212021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590923 (or 1590911 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20021212021120 its reverse (2112021212002), we get a palindrome (22133233233122).

The spelling of 20021212021120 in words is "twenty trillion, twenty-one billion, two hundred twelve million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 19913 39826 79652 99565 159304 199130 318608 398260 637216 796520 1274432 1570991 1593040 2548864 3141982 3186080 6283964 6372160 7854955 12567928 12744320 15709910 25135856 31419820 50271712 62839640 100543424 125679280 201086848 251358560 502717120 1005434240 31283143783 62566287566 125132575132 156415718915 250265150264 312831437830 500530300528 625662875660 1001060601056 1251325751320 2002121202112 2502651502640 4004242404224 5005303005280 10010606010560 20021212021120