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211212010001120 = 2551518742218957
BaseRepresentation
bin110000000001100010100000…
…110101000001001011100000
31000200211200010010111200200112
4300001202200311001023200
5210140444144030013440
62025113242523110452
762326364335004522
oct6001424065011340
91020750103450615
10211212010001120
11613315683a6017
121b832376972428
1390b128cc58b2b
143a22a0433da12
151964198266965
hexc018a0d412e0

211212010001120 has 48 divisors (see below), whose sum is σ = 502292932450848. Its totient is φ = 83925301977600.

The previous prime is 211212010001093. The next prime is 211212010001131. The reversal of 211212010001120 is 21100010212112.

It is a super-2 number, since 2×2112120100011202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211212010001095 and 211212010001104.

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, 4371085319 + ... + 4371133638.

It is an arithmetic number, because the mean of its divisors is an integer number (10464436092726).

Almost surely, 2211212010001120 is an apocalyptic number.

211212010001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211212010001120 is an abundant number, since it is smaller than the sum of its proper divisors (291080922449728).

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

211212010001120 is a wasteful number, since it uses less digits than its factorization.

211212010001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8742219123 (or 8742219115 counting only the distinct ones).

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

Adding to 211212010001120 its reverse (21100010212112), we get a palindrome (232312020213232).

The spelling of 211212010001120 in words is "two hundred eleven trillion, two hundred twelve billion, ten million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 151 160 302 604 755 1208 1510 2416 3020 4832 6040 12080 24160 8742218957 17484437914 34968875828 43711094785 69937751656 87422189570 139875503312 174844379140 279751006624 349688758280 699377516560 1320075062507 1398755033120 2640150125014 5280300250028 6600375312535 10560600500056 13200750625070 21121201000112 26401501250140 42242402000224 52803002500280 105606005000560 211212010001120