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122122233012 = 2231319193213481
BaseRepresentation
bin111000110111100001…
…1010110010010110100
3102200012220112012220010
41301233003112102310
54000101242424022
6132034023140220
711552205565443
oct1615703262264
9380186465803
10122122233012
11478788a91aa
121b8025a4670
13b692a8ab50
145ca713cd5a
15329b46050c
hex1c6f0d64b4

122122233012 has 96 divisors (see below), whose sum is σ = 324697582720. Its totient is φ = 35413770240.

The previous prime is 122122232989. The next prime is 122122233017. The reversal of 122122233012 is 210332221221.

It is a self number, because there is not a number n which added to its sum of digits gives 122122233012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122122233017) 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, 465312 + ... + 678792.

Almost surely, 2122122233012 is an apocalyptic number.

122122233012 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 122122233012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162348791360).

122122233012 is an abundant number, since it is smaller than the sum of its proper divisors (202575349708).

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

122122233012 is a wasteful number, since it uses less digits than its factorization.

122122233012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213713 (or 213711 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 122122233012 its reverse (210332221221), we get a palindrome (332454454233).

The spelling of 122122233012 in words is "one hundred twenty-two billion, one hundred twenty-two million, two hundred thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 193 228 247 386 494 579 741 772 988 1158 1482 2316 2509 2964 3667 5018 7334 7527 10036 11001 14668 15054 22002 30108 44004 47671 95342 143013 190684 213481 286026 426962 572052 640443 853924 1280886 2561772 2775253 4056139 5550506 8112278 8325759 11101012 12168417 16224556 16651518 24336834 33303036 41201833 48673668 52729807 82403666 105459614 123605499 158189421 164807332 210919228 247210998 316378842 494421996 535623829 632757684 782834827 1071247658 1565669654 1606871487 2142495316 2348504481 3131339308 3213742974 4697008962 6427485948 9394017924 10176852751 20353705502 30530558253 40707411004 61061116506 122122233012