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212122000112 = 241129181229613
BaseRepresentation
bin1100010110001101110…
…1001101101011110000
3202021112010222002112112
43011203131031223300
511433411213000422
6241240354344452
721216403152131
oct3054335155360
9667463862475
10212122000112
1181a62380310
123513b28b128
131700682b0c9
14a3a3db9c88
1557b7792ee2
hex316374daf0

212122000112 has 80 divisors (see below), whose sum is σ = 466373587680. Its totient is φ = 92579558400.

The previous prime is 212122000061. The next prime is 212122000133. The reversal of 212122000112 is 211000221212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 809018 + ... + 1038630.

It is an arithmetic number, because the mean of its divisors is an integer number (5829669846).

Almost surely, 2212122000112 is an apocalyptic number.

212122000112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212122000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233186793840).

212122000112 is an abundant number, since it is smaller than the sum of its proper divisors (254251587568).

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

212122000112 is a wasteful number, since it uses less digits than its factorization.

212122000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229842 (or 229836 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212122000112 its reverse (211000221212), we get a palindrome (423122221324).

The spelling of 212122000112 in words is "two hundred twelve billion, one hundred twenty-two million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 181 232 319 362 464 638 724 1276 1448 1991 2552 2896 3982 5104 5249 7964 10498 15928 20996 31856 41992 57739 83984 115478 229613 230956 459226 461912 918452 923824 1836904 2525743 3673808 5051486 6658777 10102972 13317554 20205944 26635108 40411888 41559953 53270216 73246547 83119906 106540432 146493094 166239812 292986188 332479624 457159483 585972376 664959248 914318966 1171944752 1205238637 1828637932 2410477274 3657275864 4820954548 7314551728 9641909096 13257625007 19283818192 26515250014 53030500028 106061000056 212122000112