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212123140112 = 24139725141887
BaseRepresentation
bin1100010110001110000…
…1100100000000010000
3202021112020010000022202
43011203201210000100
511433412010440422
6241240435022332
721216415640552
oct3054341440020
9667466100282
10212123140112
1181a62a89864
123513b73a9a8
1317006b39c70
14a3a41d54d2
1557b791ab92
hex3163864010

212123140112 has 80 divisors (see below), whose sum is σ = 448958264832. Its totient is φ = 96505344000.

The previous prime is 212123140111. The next prime is 212123140153. The reversal of 212123140112 is 211041321212.

It is not an unprimeable number, because it can be changed into a prime (212123140111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5043233 + ... + 5085119.

Almost surely, 2212123140112 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 212123140112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224479132416).

212123140112 is an abundant number, since it is smaller than the sum of its proper divisors (236835124720).

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

212123140112 is a wasteful number, since it uses less digits than its factorization.

212123140112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42256 (or 42250 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 212123140112 its reverse (211041321212), we get a palindrome (423164461324).

The spelling of 212123140112 in words is "two hundred twelve billion, one hundred twenty-three million, one hundred forty thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 97 104 194 208 251 388 502 776 1004 1261 1552 2008 2522 3263 4016 5044 6526 10088 13052 20176 24347 26104 41887 48694 52208 83774 97388 167548 194776 316511 335096 389552 544531 633022 670192 1089062 1266044 2178124 2532088 4063039 4356248 5064176 8126078 8712496 10513637 16252156 21027274 32504312 42054548 52819507 65008624 84109096 105639014 136677281 168218192 211278028 273354562 422556056 546709124 845112112 1019822789 1093418248 2039645578 2186836496 4079291156 8158582312 13257696257 16317164624 26515392514 53030785028 106061570056 212123140112