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121100000120 = 235112514192617
BaseRepresentation
bin111000011001000011…
…1110101101101111000
3102120120200000101222122
41300302013311231320
53441003100000440
6131344345140412
711514654005561
oct1606207655570
9376520011878
10121100000120
11473a387a530
121b57818a708
13b55c068108
145c0b485168
15323b83b7b5
hex1c321f5b78

121100000120 has 128 divisors (see below), whose sum is σ = 299256249600. Its totient is φ = 43739520000.

The previous prime is 121100000113. The next prime is 121100000141. The reversal of 121100000120 is 21000001121.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 121100000098 and 121100000107.

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, 46273052 + ... + 46275668.

It is an arithmetic number, because the mean of its divisors is an integer number (2337939450).

Almost surely, 2121100000120 is an apocalyptic number.

121100000120 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 121100000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149628124800).

121100000120 is an abundant number, since it is smaller than the sum of its proper divisors (178156249480).

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

121100000120 is a wasteful number, since it uses less digits than its factorization.

121100000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3309 (or 3305 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 121100000120 its reverse (21000001121), we get a palindrome (142100001241).

The spelling of 121100000120 in words is "one hundred twenty-one billion, one hundred million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 251 419 440 502 838 1004 1255 1676 2008 2095 2510 2617 2761 3352 4190 4609 5020 5234 5522 8380 9218 10040 10468 11044 13085 13805 16760 18436 20936 22088 23045 26170 27610 28787 36872 46090 52340 55220 57574 92180 104680 105169 110440 115148 143935 184360 210338 230296 287870 420676 525845 575740 656867 841352 1051690 1096523 1151480 1156859 1313734 2103380 2193046 2313718 2627468 3284335 4206760 4386092 4627436 5254936 5482615 5784295 6568670 7225537 8772184 9254872 10965230 11568590 12061753 13137340 14451074 21930460 23137180 24123506 26274680 28902148 36127685 43860920 46274360 48247012 57804296 60308765 72255370 96494024 120617530 144510740 241235060 275227273 289021480 482470120 550454546 1100909092 1376136365 2201818184 2752272730 3027500003 5504545460 6055000006 11009090920 12110000012 15137500015 24220000024 30275000030 60550000060 121100000120