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12442422420 = 2233523041523
BaseRepresentation
bin10111001011010000…
…00100110010010100
31012010010121112211000
423211220010302110
5200440230004140
65414352143300
7620222563011
oct134550046224
935103545730
1012442422420
11530547213a
1224b2b37b30
131233a0a43c
148606a6708
154cc513a30
hex2e5a04c94

12442422420 has 48 divisors (see below), whose sum is σ = 38709760320. Its totient is φ = 3317979168.

The previous prime is 12442422407. The next prime is 12442422437. The reversal of 12442422420 is 2422424421.

12442422420 is a `hidden beast` number, since 12 + 4 + 424 + 224 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11520222 + ... + 11521301.

It is an arithmetic number, because the mean of its divisors is an integer number (806453340).

Almost surely, 212442422420 is an apocalyptic number.

12442422420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12442422420 is an abundant number, since it is smaller than the sum of its proper divisors (26267337900).

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

12442422420 is a wasteful number, since it uses less digits than its factorization.

12442422420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23041541 (or 23041533 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 12442422420 its reverse (2422424421), we get a palindrome (14864846841).

The spelling of 12442422420 in words is "twelve billion, four hundred forty-two million, four hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 23041523 46083046 69124569 92166092 115207615 138249138 207373707 230415230 276498276 345622845 414747414 460830460 622121121 691245690 829494828 1036868535 1244242242 1382491380 2073737070 2488484484 3110605605 4147474140 6221211210 12442422420