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11121202120 = 2357172579091
BaseRepresentation
bin10100101101110000…
…00001001111001000
31001201001111121021211
422112320001033020
5140234011431440
65035313542504
7542410441540
oct122670011710
931631447254
1011121202120
1147976a0836
1221a4574a34
131083082792
14777020320
15451530eea
hex296e013c8

11121202120 has 128 divisors (see below), whose sum is σ = 30400738560. Its totient is φ = 3574333440.

The previous prime is 11121202111. The next prime is 11121202133. The reversal of 11121202120 is 2120212111.

It is a super-2 number, since 2×111212021202 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11121202120.

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, 1218775 + ... + 1227865.

It is an arithmetic number, because the mean of its divisors is an integer number (237505770).

Almost surely, 211121202120 is an apocalyptic number.

11121202120 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 11121202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15200369280).

11121202120 is an abundant number, since it is smaller than the sum of its proper divisors (19279536440).

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

11121202120 is a wasteful number, since it uses less digits than its factorization.

11121202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9383 (or 9379 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11121202120 its reverse (2120212111), we get a palindrome (13241414231).

Subtracting from 11121202120 its reverse (2120212111), we obtain a palindrome (9000990009).

The spelling of 11121202120 in words is "eleven billion, one hundred twenty-one million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 257 280 340 476 514 595 680 952 1028 1190 1285 1799 2056 2380 2570 3598 4369 4760 5140 7196 8738 8995 9091 10280 14392 17476 17990 18182 21845 30583 34952 35980 36364 43690 45455 61166 63637 71960 72728 87380 90910 122332 127274 152915 154547 174760 181820 244664 254548 305830 309094 318185 363640 509096 611660 618188 636370 772735 1081829 1223320 1236376 1272740 1545470 2163658 2336387 2545480 3090940 4327316 4672774 5409145 6181880 8654632 9345548 10818290 11681935 16354709 18691096 21636580 23363870 32709418 39718579 43273160 46727740 65418836 79437158 81773545 93455480 130837672 158874316 163547090 198592895 278030053 317748632 327094180 397185790 556060106 654188360 794371580 1112120212 1390150265 1588743160 2224240424 2780300530 5560601060 11121202120