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12121211120 = 245197974481
BaseRepresentation
bin10110100100111101…
…10000000011110000
31011021202012022202012
423102132300003300
5144311012223440
65322435342052
7606242410634
oct132236600360
934252168665
1012121211120
115160120357
122423451928
1311b22c3a95
1482db70dc4
154ae214e65
hex2d27b00f0

12121211120 has 40 divisors (see below), whose sum is σ = 29665073040. Its totient is φ = 4593300480.

The previous prime is 12121211111. The next prime is 12121211131. The reversal of 12121211120 is 2111212121.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×121212111202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12121211095 and 12121211104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3985721 + ... + 3988760.

It is an arithmetic number, because the mean of its divisors is an integer number (741626826).

Almost surely, 212121211120 is an apocalyptic number.

12121211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121211120 is an abundant number, since it is smaller than the sum of its proper divisors (17543861920).

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

12121211120 is a wasteful number, since it uses less digits than its factorization.

12121211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7974513 (or 7974507 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12121211120 its reverse (2111212121), we get a palindrome (14232423241).

The spelling of 12121211120 in words is "twelve billion, one hundred twenty-one million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 7974481 15948962 31897924 39872405 63795848 79744810 127591696 151515139 159489620 303030278 318979240 606060556 637958480 757575695 1212121112 1515151390 2424242224 3030302780 6060605560 12121211120