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12121120 = 255117197
BaseRepresentation
bin101110001111…
…010000100000
3211210211001101
4232033100200
511100333440
61111444144
7205012354
oct56172040
924724041
1012121120
116929860
124086654
13268517b
141877464
1510e669a
hexb8f420

12121120 has 96 divisors (see below), whose sum is σ = 32006016. Its totient is φ = 4300800.

The previous prime is 12121103. The next prime is 12121121. The reversal of 12121120 is 2112121.

Adding to 12121120 its reverse (2112121), we get a palindrome (14233241).

It can be divided in two parts, 1212 and 1120, that added together give a palindrome (2332).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12121097 and 12121106.

It is not an unprimeable number, because it can be changed into a prime (12121121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124912 + ... + 125008.

It is an arithmetic number, because the mean of its divisors is an integer number (333396).

Almost surely, 212121120 is an apocalyptic number.

12121120 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 12121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16003008).

12121120 is an abundant number, since it is smaller than the sum of its proper divisors (19884896).

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

12121120 is a wasteful number, since it uses less digits than its factorization.

12121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 12121120 is about 3481.5398891870. The cubic root of 12121120 is about 229.7105369246.

The spelling of 12121120 in words is "twelve million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 71 80 88 97 110 142 160 176 194 220 284 352 355 388 440 485 568 710 776 781 880 970 1067 1136 1420 1552 1562 1760 1940 2134 2272 2840 3104 3124 3880 3905 4268 5335 5680 6248 6887 7760 7810 8536 10670 11360 12496 13774 15520 15620 17072 21340 24992 27548 31240 34144 34435 42680 55096 62480 68870 75757 85360 110192 124960 137740 151514 170720 220384 275480 303028 378785 550960 606056 757570 1101920 1212112 1515140 2424224 3030280 6060560 12121120