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122934480480 = 25325712195881
BaseRepresentation
bin111001001111101110…
…1110100111001100000
3102202022111220122221200
41302133131310321200
54003232211333410
6132250400321200
711611300562040
oct1623735647140
9382274818850
10122934480480
11481553447a9
121b9aa613200
13b79213b556
145d42d75720
1532e79063c0
hex1c9f774e60

122934480480 has 144 divisors (see below), whose sum is σ = 479444513184. Its totient is φ = 28099307520.

The previous prime is 122934480469. The next prime is 122934480481. The reversal of 122934480480 is 84084439221.

122934480480 is a `hidden beast` number, since 1 + 2 + 2 + 93 + 4 + 4 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1229344804802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122934480481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6087861 + ... + 6108020.

It is an arithmetic number, because the mean of its divisors is an integer number (3329475786).

Almost surely, 2122934480480 is an apocalyptic number.

122934480480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122934480480 is an abundant number, since it is smaller than the sum of its proper divisors (356510032704).

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

122934480480 is a wasteful number, since it uses less digits than its factorization.

122934480480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12195909 (or 12195898 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 122934480480 in words is "one hundred twenty-two billion, nine hundred thirty-four million, four hundred eighty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 12195881 24391762 36587643 48783524 60979405 73175286 85371167 97567048 109762929 121958810 146350572 170742334 182938215 195134096 219525858 243917620 256113501 292701144 341484668 365876430 390268192 426855835 439051716 487835240 512227002 548814645 585402288 682969336 731752860 768340503 853711670 878103432 975670480 1024454004 1097629290 1170804576 1280567505 1365938672 1463505720 1536681006 1707423340 1756206864 1951340960 2048908008 2195258580 2561135010 2731877344 2927011440 3073362012 3414846680 3512413728 3841702515 4097816016 4390517160 5122270020 5854022880 6146724024 6829693360 7683405030 8195632032 8781034320 10244540040 12293448048 13659386720 15366810060 17562068640 20489080080 24586896096 30733620120 40978160160 61467240240 122934480480