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122788470996 = 22334142165867
BaseRepresentation
bin111001001011011000…
…0110110000011010100
3102201221100011121121000
41302112300312003110
54002432322032441
6132224103023300
711604545532312
oct1622660660324
9381840147530
10122788470996
114808a988704
121b96973ab30
13b76ab08ac9
145d2b8090b2
1532d9bb42b6
hex1c96c360d4

122788470996 has 96 divisors (see below), whose sum is σ = 326884440960. Its totient is φ = 39835756800.

The previous prime is 122788470983. The next prime is 122788471079. The reversal of 122788470996 is 699074887221.

122788470996 is a `hidden beast` number, since 1 + 2 + 2 + 78 + 8 + 470 + 9 + 96 = 666.

It is a super-3 number, since 3×1227884709963 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1831255 + ... + 1897121.

It is an arithmetic number, because the mean of its divisors is an integer number (3405046260).

Almost surely, 2122788470996 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 122788470996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163442220480).

122788470996 is an abundant number, since it is smaller than the sum of its proper divisors (204095969964).

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

122788470996 is a wasteful number, since it uses less digits than its factorization.

122788470996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66342 (or 66334 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 122788470996 in words is "one hundred twenty-two billion, seven hundred eighty-eight million, four hundred seventy thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 421 492 738 842 1107 1263 1476 1684 2214 2526 3789 4428 5052 7578 11367 15156 17261 22734 34522 45468 51783 65867 69044 103566 131734 155349 197601 207132 263468 310698 395202 466047 592803 621396 790404 932094 1185606 1778409 1864188 2371212 2700547 3556818 5401094 7113636 8101641 10802188 16203282 24304923 27730007 32406564 48609846 55460014 72914769 83190021 97219692 110920028 145829538 166380042 249570063 291659076 332760084 499140126 748710189 998280252 1136930287 1497420378 2273860574 2994840756 3410790861 4547721148 6821581722 10232372583 13643163444 20464745166 30697117749 40929490332 61394235498 122788470996