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2021121201200 = 245243322035297
BaseRepresentation
bin11101011010010100001…
…101100001010000110000
321011012212102010001010012
4131122110031201100300
5231103224011414300
64144253521354052
7266010160516103
oct35322415412060
97135772101105
102021121201200
1170a175255972
12287859498928
1311878b303a6a
146db73a3273a
15378923bb435
hex1d694361430

2021121201200 has 120 divisors (see below), whose sum is σ = 4870086346608. Its totient is φ = 806063063040.

The previous prime is 2021121201139. The next prime is 2021121201241. The reversal of 2021121201200 is 21021211202.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 381556952 + ... + 381562248.

Almost surely, 22021121201200 is an apocalyptic number.

2021121201200 is a gapful number since it is divisible by the number (20) 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 2021121201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435043173304).

2021121201200 is an abundant number, since it is smaller than the sum of its proper divisors (2848965145408).

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

2021121201200 is a wasteful number, since it uses less digits than its factorization.

2021121201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7951 (or 7940 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2021121201200 its reverse (21021211202), we get a palindrome (2042142412402).

The spelling of 2021121201200 in words is "two trillion, twenty-one billion, one hundred twenty-one million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 433 866 1732 2165 2203 3464 4330 4406 5297 6928 8660 8812 10594 10825 11015 17320 17624 21188 21650 22030 26485 34640 35248 42376 43300 44060 52970 55075 84752 86600 88120 105940 110150 132425 173200 176240 211880 220300 264850 423760 440600 529700 881200 953899 1059400 1907798 2118800 2293601 3815596 4587202 4769495 7631192 9174404 9538990 11468005 11669291 15262384 18348808 19077980 22936010 23338582 23847475 36697616 38155960 45872020 46677164 47694950 57340025 58346455 76311920 91744040 93354328 95389900 114680050 116692910 183488080 186708656 190779800 229360100 233385820 291732275 381559600 458720200 466771640 583464550 917440400 933543280 1166929100 2333858200 4667716400 5052803003 10105606006 20211212012 25264015015 40422424024 50528030030 80844848048 101056060060 126320075075 202112120120 252640150150 404224240240 505280300300 1010560600600 2021121201200