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123442004000 = 255374408643
BaseRepresentation
bin111001011110110110…
…1111000000000100000
3102210121212220112100002
41302331231320000200
54010302123112000
6132413010315132
711630002502330
oct1627555700040
9383555815302
10123442004000
114839587a727
121bb10588aa8
13b843328c23
145d905290c0
1533272588d5
hex1cbdb78020

123442004000 has 96 divisors (see below), whose sum is σ = 346625225856. Its totient is φ = 42322963200.

The previous prime is 123442003987. The next prime is 123442004029. The reversal of 123442004000 is 400244321.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 2176322 + ... + 2232321.

It is an arithmetic number, because the mean of its divisors is an integer number (3610679436).

Almost surely, 2123442004000 is an apocalyptic number.

123442004000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123442004000 is an abundant number, since it is smaller than the sum of its proper divisors (223183221856).

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

123442004000 is an equidigital number, since it uses as much as digits as its factorization.

123442004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4408675 (or 4408657 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 123442004000 its reverse (400244321), we get a palindrome (123842248321).

The spelling of 123442004000 in words is "one hundred twenty-three billion, four hundred forty-two million, four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1120 1400 1750 2000 2800 3500 4000 5600 7000 14000 28000 4408643 8817286 17634572 22043215 30860501 35269144 44086430 61721002 70538288 88172860 110216075 123442004 141076576 154302505 176345720 220432150 246884008 308605010 352691440 440864300 493768016 551080375 617210020 705382880 771512525 881728600 987536032 1102160750 1234420040 1543025050 1763457200 2204321500 2468840080 3086050100 3526914400 3857562625 4408643000 4937680160 6172100200 7715125250 8817286000 12344200400 15430250500 17634572000 24688400800 30860501000 61721002000 123442004000