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122949920122880 = 211519631938323
BaseRepresentation
bin11011111101001010000010…
…010100000110100000000000
3121010022220020022220221221212
4123331022002110012200000
5112103402414022413010
61113254225154505252
734616560431413504
oct3375120224064000
9533286208827855
10122949920122880
11361a284a67aa94
1211958627595228
13537b1877a0696
142250b44ba2304
15e333224c7505
hex6fd282506800

122949920122880 has 96 divisors (see below), whose sum is σ = 310534492413600. Its totient is φ = 46591548604416.

The previous prime is 122949920122877. The next prime is 122949920122901. The reversal of 122949920122880 is 88221029949221.

It is a happy 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 7 ways as a sum of consecutive naturals, for example, 315774602 + ... + 316163721.

It is an arithmetic number, because the mean of its divisors is an integer number (3234734295975).

Almost surely, 2122949920122880 is an apocalyptic number.

122949920122880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122949920122880 is an abundant number, since it is smaller than the sum of its proper divisors (187584572290720).

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

122949920122880 is an equidigital number, since it uses as much as digits as its factorization.

122949920122880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631938369 (or 631938349 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 59.

The spelling of 122949920122880 in words is "one hundred twenty-two trillion, nine hundred forty-nine billion, nine hundred twenty million, one hundred twenty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 512 608 640 760 1024 1216 1280 1520 2048 2432 2560 3040 4864 5120 6080 9728 10240 12160 19456 24320 38912 48640 97280 194560 631938323 1263876646 2527753292 3159691615 5055506584 6319383230 10111013168 12006828137 12638766460 20222026336 24013656274 25277532920 40444052672 48027312548 50555065840 60034140685 80888105344 96054625096 101110131680 120068281370 161776210688 192109250192 202220263360 240136562740 323552421376 384218500384 404440526720 480273125480 647104842752 768437000768 808881053440 960546250960 1294209685504 1536874001536 1617762106880 1921092501920 3073748003072 3235524213760 3842185003840 6147496006144 6471048427520 7684370007680 12294992012288 15368740015360 24589984024576 30737480030720 61474960061440 122949920122880