Search a number
-
+
1012212033200 = 24529730784977
BaseRepresentation
bin11101011101011001000…
…10011110011010110000
310120202200210111222200222
432232230202132122300
5113041002240030300
62053000452432212
7133062362215244
oct16565442363260
93522623458628
101012212033200
11360305339215
1214420b918668
13745b333b7a4
1436dc429a424
151b4e391b785
hexebac89e6b0

1012212033200 has 120 divisors (see below), whose sum is σ = 2464941889872. Its totient is φ = 399400796160.

The previous prime is 1012212033187. The next prime is 1012212033227. The reversal of 1012212033200 is 23302122101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11869112 + ... + 11954088.

Almost surely, 21012212033200 is an apocalyptic number.

1012212033200 is a gapful number since it is divisible by the number (10) 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 1012212033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232470944936).

1012212033200 is an abundant number, since it is smaller than the sum of its proper divisors (1452729856672).

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

1012212033200 is a wasteful number, since it uses less digits than its factorization.

1012212033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85399 (or 85388 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1012212033200 its reverse (23302122101), we get a palindrome (1035514155301).

The spelling of 1012212033200 in words is "one trillion, twelve billion, two hundred twelve million, thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 97 100 194 200 307 388 400 485 614 776 970 1228 1535 1552 1940 2425 2456 3070 3880 4850 4912 6140 7675 7760 9700 12280 15350 19400 24560 29779 30700 38800 59558 61400 84977 119116 122800 148895 169954 238232 297790 339908 424885 476464 595580 679816 744475 849770 1191160 1359632 1488950 1699540 2124425 2382320 2977900 3399080 4248850 5955800 6798160 8242769 8497700 11911600 16485538 16995400 26087939 32971076 33990800 41213845 52175878 65942152 82427690 104351756 130439695 131884304 164855380 206069225 208703512 260879390 329710760 412138450 417407024 521758780 652198475 659421520 824276900 1043517560 1304396950 1648553800 2087035120 2530530083 2608793900 3297107600 5061060166 5217587800 10122120332 10435175600 12652650415 20244240664 25305300830 40488481328 50610601660 63263252075 101221203320 126526504150 202442406640 253053008300 506106016600 1012212033200