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1121211100212 = 2237213913718141
BaseRepresentation
bin10000010100001101011…
…000111010110000110100
310222012001010111022010220
4100110031120322300310
5121332220020201322
62215024405014340
7144001441050600
oct20241530726064
93865033438126
101121211100212
113a2559488585
1216136b3b43b0
1381964362948
143c3a456c500
151e272beb55c
hex1050d63ac34

1121211100212 has 72 divisors (see below), whose sum is σ = 3065181648480. Its totient is φ = 318041357760.

The previous prime is 1121211100201. The next prime is 1121211100231. The reversal of 1121211100212 is 2120011121211.

It is a happy number.

It is a super-2 number, since 2×11212111002122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1121211100191 and 1121211100200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6777339 + ... + 6940802.

It is an arithmetic number, because the mean of its divisors is an integer number (42571967340).

Almost surely, 21121211100212 is an apocalyptic number.

1121211100212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1121211100212 is an abundant number, since it is smaller than the sum of its proper divisors (1943970548268).

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

1121211100212 is a wasteful number, since it uses less digits than its factorization.

1121211100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13718301 (or 13718292 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1121211100212 its reverse (2120011121211), we get a palindrome (3241222221423).

The spelling of 1121211100212 in words is "one trillion, one hundred twenty-one billion, two hundred eleven million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 139 147 196 278 294 417 556 588 834 973 1668 1946 2919 3892 5838 6811 11676 13622 20433 27244 40866 81732 13718141 27436282 41154423 54872564 82308846 96026987 164617692 192053974 288080961 384107948 576161922 672188909 1152323844 1344377818 1906821599 2016566727 2688755636 3813643198 4033133454 5720464797 7627286396 8066266908 11440929594 13347751193 22881859188 26695502386 40043253579 53391004772 80086507158 93434258351 160173014316 186868516702 280302775053 373737033404 560605550106 1121211100212