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122100210012 = 223113137806453
BaseRepresentation
bin111000110110110111…
…1010101100101011100
3102200011101002100000110
41301231233111211130
54000030123210022
6132031515130020
711551520442444
oct1615557254534
9380141070013
10122100210012
1147867426a80
121b7b7143910
13b68b3499a1
145ca4249124
15329956000c
hex1c6dbd595c

122100210012 has 96 divisors (see below), whose sum is σ = 329497749504. Its totient is φ = 34838726400.

The previous prime is 122100209993. The next prime is 122100210013. The reversal of 122100210012 is 210012001221.

It is a super-2 number, since 2×1221002100122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 122100210012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122100210013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251823 + ... + 554630.

It is an arithmetic number, because the mean of its divisors is an integer number (3432268224).

Almost surely, 2122100210012 is an apocalyptic number.

122100210012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122100210012 is an abundant number, since it is smaller than the sum of its proper divisors (207397539492).

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

122100210012 is a wasteful number, since it uses less digits than its factorization.

122100210012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806539 (or 806537 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122100210012 its reverse (210012001221), we get a palindrome (332112211233).

The spelling of 122100210012 in words is "one hundred twenty-two billion, one hundred million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 31 33 37 44 62 66 74 93 111 124 132 148 186 222 341 372 407 444 682 814 1023 1147 1221 1364 1628 2046 2294 2442 3441 4092 4588 4884 6882 12617 13764 25234 37851 50468 75702 151404 806453 1612906 2419359 3225812 4838718 8870983 9677436 17741966 25000043 26612949 29838761 35483932 50000086 53225898 59677522 75000129 89516283 100000172 106451796 119355044 150000258 179032566 275000473 300000516 328226371 358065132 550000946 656452742 825001419 925001591 984679113 1100001892 1312905484 1650002838 1850003182 1969358226 2775004773 3300005676 3700006364 3938716452 5550009546 10175017501 11100019092 20350035002 30525052503 40700070004 61050105006 122100210012