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122034420312 = 233737108718061
BaseRepresentation
bin111000110100111010…
…0010111101001011000
3102122222210021212111220
41301221310113221120
53444411302422222
6132021205052040
711550061312650
oct1615164275130
9378883255456
10122034420312
1147833281222
121b7990b7020
13b67a82367c
145c99601360
1532938b6b5c
hex1c69d17a58

122034420312 has 128 divisors (see below), whose sum is σ = 358442557440. Its totient is φ = 33891540480.

The previous prime is 122034420301. The next prime is 122034420317. The reversal of 122034420312 is 213024430221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122034420317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6747762 + ... + 6765822.

It is an arithmetic number, because the mean of its divisors is an integer number (2800332480).

Almost surely, 2122034420312 is an apocalyptic number.

122034420312 is a gapful number since it is divisible by the number (12) 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 122034420312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179221278720).

122034420312 is an abundant number, since it is smaller than the sum of its proper divisors (236408137128).

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

122034420312 is a wasteful number, since it uses less digits than its factorization.

122034420312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19201 (or 19197 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 122034420312 its reverse (213024430221), we get a palindrome (335058850533).

Subtracting 122034420312 from its reverse (213024430221), we obtain a palindrome (90990009909).

The spelling of 122034420312 in words is "one hundred twenty-two billion, thirty-four million, four hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 444 518 777 888 1036 1087 1554 2072 2174 3108 3261 4348 6216 6522 7609 8696 13044 15218 18061 22827 26088 30436 36122 40219 45654 54183 60872 72244 80438 91308 108366 120657 126427 144488 160876 182616 216732 241314 252854 281533 321752 379281 433464 482628 505708 563066 668257 758562 844599 965256 1011416 1126132 1336514 1517124 1689198 2004771 2252264 2673028 3034248 3378396 4009542 4677799 5346056 6756792 8019084 9355598 14033397 16038168 18711196 19632307 28066794 37422392 39264614 56133588 58896921 78529228 112267176 117793842 137426149 157058456 235587684 274852298 412278447 471175368 549704596 726395359 824556894 1099409192 1452790718 1649113788 2179186077 2905581436 3298227576 4358372154 5084767513 5811162872 8716744308 10169535026 15254302539 17433488616 20339070052 30508605078 40678140104 61017210156 122034420312