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2121022111212 = 2232674671883003
BaseRepresentation
bin11110110111010110110…
…001001111110111101100
321111202201200022002110100
4132313112301033313230
5234222323130024322
64302214544511100
7306144622322364
oct36672661176754
97452650262410
102121022111212
1174857a761214
122a309a01b490
1312501c42ac74
147492d85b9a4
153a28ca80dac
hex1edd6c4fdec

2121022111212 has 72 divisors (see below), whose sum is σ = 5453149455936. Its totient is φ = 694963314144.

The previous prime is 2121022111199. The next prime is 2121022111237. The reversal of 2121022111212 is 2121112201212.

2121022111212 is a `hidden beast` number, since 21 + 210 + 221 + 1 + 1 + 212 = 666.

It is a super-3 number, since 3×21210221112123 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184903 + ... + 2067905.

It is an arithmetic number, because the mean of its divisors is an integer number (75738186888).

Almost surely, 22121022111212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121022111212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726574727968).

2121022111212 is an abundant number, since it is smaller than the sum of its proper divisors (3332127344724).

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

2121022111212 is a wasteful number, since it uses less digits than its factorization.

2121022111212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883547 (or 1883542 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2121022111212 its reverse (2121112201212), we get a palindrome (4242134312424).

The spelling of 2121022111212 in words is "two trillion, one hundred twenty-one billion, twenty-two million, one hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 467 603 804 934 1206 1401 1868 2412 2802 4203 5604 8406 16812 31289 62578 93867 125156 187734 281601 375468 563202 1126404 1883003 3766006 5649009 7532012 11298018 16947027 22596036 33894054 67788108 126161201 252322402 378483603 504644804 756967206 879362401 1135450809 1513934412 1758724802 2270901618 2638087203 3517449604 4541803236 5276174406 7914261609 10552348812 15828523218 31657046436 58917280867 117834561734 176751842601 235669123468 353503685202 530255527803 707007370404 1060511055606 2121022111212