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2121021021200 = 245227764729587
BaseRepresentation
bin11110110111010110101…
…101000101110000010000
321111202201121020201020112
4132313112231011300100
5234222322340134300
64302214505300452
7306144610132454
oct36672655056020
97452647221215
102121021021200
1174857a087284
122a3099794728
1312501c138aa3
147492d656664
153a28c917e35
hex1edd6b45c10

2121021021200 has 120 divisors (see below), whose sum is σ = 5122226745792. Its totient is φ = 844010472960.

The previous prime is 2121021021199. The next prime is 2121021021209. The reversal of 2121021021200 is 21201201212.

It is not an unprimeable number, because it can be changed into a prime (2121021021209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71672807 + ... + 71702393.

Almost surely, 22121021021200 is an apocalyptic number.

2121021021200 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 2121021021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561113372896).

2121021021200 is an abundant number, since it is smaller than the sum of its proper divisors (3001205724592).

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

2121021021200 is a wasteful number, since it uses less digits than its factorization.

2121021021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30529 (or 30518 counting only the distinct ones).

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

Adding to 2121021021200 its reverse (21201201212), we get a palindrome (2142222222412).

The spelling of 2121021021200 in words is "two trillion, one hundred twenty-one billion, twenty-one million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 277 400 554 647 1108 1294 1385 2216 2588 2770 3235 4432 5176 5540 6470 6925 10352 11080 12940 13850 16175 22160 25880 27700 29587 32350 51760 55400 59174 64700 110800 118348 129400 147935 179219 236696 258800 295870 358438 473392 591740 716876 739675 896095 1183480 1433752 1479350 1792190 2366960 2867504 2958700 3584380 4480475 5917400 7168760 8195599 8960950 11834800 14337520 16391198 17921900 19142789 32782396 35843800 38285578 40977995 65564792 71687600 76571156 81955990 95713945 131129584 153142312 163911980 191427890 204889975 306284624 327823960 382855780 409779950 478569725 655647920 765711560 819559900 957139450 1531423120 1639119800 1914278900 3278239600 3828557800 5302552553 7657115600 10605105106 21210210212 26512762765 42420420424 53025525530 84840840848 106051051060 132563813825 212102102120 265127627650 424204204240 530255255300 1060510510600 2121021021200