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2121121222000 = 245311136170841
BaseRepresentation
bin11110110111011100101…
…011010100110101110000
321111202222120210102220021
4132313130223110311300
5234223024013101000
64302232445053224
7306150234622204
oct36673453246560
97452876712807
102121121222000
117486206a5660
122a3107257214
13125036b1cac1
147493ca9ab04
153a29660c11a
hex1eddcad4d70

2121121222000 has 160 divisors (see below), whose sum is σ = 5599322209728. Its totient is φ = 770739200000.

The previous prime is 2121121221997. The next prime is 2121121222079. The reversal of 2121121222000 is 2221211212.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29906580 + ... + 29977420.

Almost surely, 22121121222000 is an apocalyptic number.

2121121222000 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 2121121222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2799661104864).

2121121222000 is an abundant number, since it is smaller than the sum of its proper divisors (3478200987728).

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

2121121222000 is a wasteful number, since it uses less digits than its factorization.

2121121222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72236 (or 72220 counting only the distinct ones).

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

Adding to 2121121222000 its reverse (2221211212), we get a palindrome (2123342433212).

It can be divided in two parts, 21211212 and 22000, that added together give a palindrome (21233212).

The spelling of 2121121222000 in words is "two trillion, one hundred twenty-one billion, one hundred twenty-one million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1361 1375 2000 2200 2722 2750 4400 5444 5500 6805 10888 11000 13610 14971 21776 22000 27220 29942 34025 54440 59884 68050 70841 74855 108880 119768 136100 141682 149710 170125 239536 272200 283364 299420 340250 354205 374275 544400 566728 598840 680500 708410 748550 779251 1133456 1197680 1361000 1416820 1497100 1558502 1771025 1871375 2722000 2833640 2994200 3117004 3542050 3742750 3896255 5667280 5988400 6234008 7084100 7485500 7792510 8855125 12468016 14168200 14971000 15585020 17710250 19481275 28336400 29942000 31170040 35420500 38962550 62340080 70841000 77925100 96414601 97406375 141682000 155850200 192829202 194812750 311700400 385658404 389625500 482073005 771316808 779251000 964146010 1060560611 1542633616 1558502000 1928292020 2121121222 2410365025 3856584040 4242242444 4820730050 5302803055 7713168080 8484484888 9641460100 10605606110 12051825125 16968969776 19282920200 21211212220 24103650250 26514015275 38565840400 42422424440 48207300500 53028030550 84844848880 96414601000 106056061100 132570076375 192829202000 212112122200 265140152750 424224244400 530280305500 1060560611000 2121121222000