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42222120000 = 26354351851
BaseRepresentation
bin100111010100101000…
…100110110001000000
311000222112100221002020
4213110220212301000
51142432330320000
631221354321440
73023206045524
oct472450466100
9130875327066
1042222120000
11169a7316755
128224129280
133c9b55a278
142087765d84
151171b22ba0
hex9d4a26c40

42222120000 has 140 divisors (see below), whose sum is σ = 139596577296. Its totient is φ = 11259200000.

The previous prime is 42222119917. The next prime is 42222120007. The reversal of 42222120000 is 2122224.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (42222120007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55926 + ... + 295925.

Almost surely, 242222120000 is an apocalyptic number.

42222120000 is a gapful number since it is divisible by the number (40) 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 42222120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69798288648).

42222120000 is an abundant number, since it is smaller than the sum of its proper divisors (97374457296).

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

42222120000 is an equidigital number, since it uses as much as digits as its factorization.

42222120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351886 (or 351861 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 42222120000 its reverse (2122224), we get a palindrome (42224242224).

The spelling of 42222120000 in words is "forty-two billion, two hundred twenty-two million, one hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 10000 12000 15000 20000 24000 30000 40000 60000 120000 351851 703702 1055553 1407404 1759255 2111106 2814808 3518510 4222212 5277765 5629616 7037020 8444424 8796275 10555530 11259232 14074040 16888848 17592550 21111060 22518464 26388825 28148080 33777696 35185100 42222120 43981375 52777650 56296160 67555392 70370200 84444240 87962750 105555300 112592320 131944125 140740400 168888480 175925500 211110600 219906875 263888250 281480800 337776960 351851000 422221200 439813750 527776500 562961600 659720625 703702000 844442400 879627500 1055553000 1319441250 1407404000 1688884800 1759255000 2111106000 2638882500 2814808000 3518510000 4222212000 5277765000 7037020000 8444424000 10555530000 14074040000 21111060000 42222120000