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202012212120000 = 263541683435101
BaseRepresentation
bin101101111011101010100010…
…001001001100100111000000
3222111021011211101201212211020
4231323222202021030213000
5202434232002300320000
61553351043514345440
760356620636163142
oct5573524211144700
9874234741655736
10202012212120000
1159404997326697
121a7a73a112b280
1388948928c6859
1437c562c34ac92
151854c0423cba0
hexb7baa224c9c0

202012212120000 has 140 divisors (see below), whose sum is σ = 667899509848296. Its totient is φ = 53869923200000.

The previous prime is 202012212119999. The next prime is 202012212120007. The reversal of 202012212120000 is 21212210202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202012212120007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 841597551 + ... + 841837550.

Almost surely, 2202012212120000 is an apocalyptic number.

202012212120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202012212120000 is an abundant number, since it is smaller than the sum of its proper divisors (465887297728296).

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

202012212120000 is an equidigital number, since it uses as much as digits as its factorization.

202012212120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683435136 (or 1683435111 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202012212120000 its reverse (21212210202), we get a palindrome (202033424330202).

It can be divided in two parts, 20201221 and 2120000, that added together give a triangular number (22321221 = T6681).

The spelling of 202012212120000 in words is "two hundred two trillion, twelve billion, two hundred twelve million, one hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 10000 12000 15000 20000 24000 30000 40000 60000 120000 1683435101 3366870202 5050305303 6733740404 8417175505 10100610606 13467480808 16834351010 20201221212 25251526515 26934961616 33668702020 40402442424 42085877525 50503053030 53869923232 67337404040 80804884848 84171755050 101006106060 107739846464 126257632575 134674808080 161609769696 168343510100 202012212120 210429387625 252515265150 269349616160 323219539392 336687020200 404024424240 420858775250 505030530300 538699232320 631288162875 673374040400 808048848480 841717550500 1010061060600 1052146938125 1262576325750 1346748080800 1616097696960 1683435101000 2020122121200 2104293876250 2525152651500 2693496161600 3156440814375 3366870202000 4040244242400 4208587752500 5050305303000 6312881628750 6733740404000 8080488484800 8417175505000 10100610606000 12625763257500 13467480808000 16834351010000 20201221212000 25251526515000 33668702020000 40402442424000 50503053030000 67337404040000 101006106060000 202012212120000