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212111122122 = 23331149850397
BaseRepresentation
bin1100010110001011001…
…1101101111011001010
3202021111101111102202000
43011202303231323022
511433400421401442
6241235325251430
721216211534644
oct3054263557312
9667441442660
10212111122122
1181a57220539
1235137703b76
13170044bca23
14a3a2787894
1557b6844d4c
hex3162cedeca

212111122122 has 64 divisors (see below), whose sum is σ = 489829248000. Its totient is φ = 67963648320.

The previous prime is 212111122109. The next prime is 212111122163. The reversal of 212111122122 is 221221111212.

It is a super-2 number, since 2×2121111221222 (a number of 23 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 212111122095 and 212111122104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175773 + ... + 674624.

It is an arithmetic number, because the mean of its divisors is an integer number (7653582000).

Almost surely, 2212111122122 is an apocalyptic number.

212111122122 is an abundant number, since it is smaller than the sum of its proper divisors (277718125878).

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

212111122122 is a wasteful number, since it uses less digits than its factorization.

212111122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850588 (or 850582 counting only the distinct ones).

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

Adding to 212111122122 its reverse (221221111212), we get a palindrome (433332233334).

The spelling of 212111122122 in words is "two hundred twelve billion, one hundred eleven million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 149 186 279 298 447 558 837 894 1341 1674 2682 4023 4619 8046 9238 13857 27714 41571 83142 124713 249426 850397 1700794 2551191 5102382 7653573 15307146 22960719 26362307 45921438 52724614 79086921 126709153 158173842 237260763 253418306 380127459 474521526 711782289 760254918 1140382377 1423564578 2280764754 3421147131 3927983743 6842294262 7855967486 11783951229 23567902458 35351853687 70703707374 106055561061 212111122122