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1042122000 = 24353173687
BaseRepresentation
bin111110000111011…
…000010100010000
32200121221021122010
4332013120110100
54113240401000
6251224142520
734552614363
oct7607302420
92617837563
101042122000
11495283757
12251007a40
13137b9784a
149c5940da
1561751d50
hex3e1d8510

1042122000 has 80 divisors (see below), whose sum is σ = 3359820672. Its totient is φ = 277897600.

The previous prime is 1042121999. The next prime is 1042122001. The reversal of 1042122000 is 2212401.

It is an interprime number because it is at equal distance from previous prime (1042121999) and next prime (1042122001).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1042122001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80844 + ... + 92843.

Almost surely, 21042122000 is an apocalyptic number.

1042122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1042122000 is an abundant number, since it is smaller than the sum of its proper divisors (2317698672).

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

1042122000 is a wasteful number, since it uses less digits than its factorization.

1042122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173713 (or 173697 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1042122000 is about 32281.9144413710. The cubic root of 1042122000 is about 1013.8480139760.

Adding to 1042122000 its reverse (2212401), we get a palindrome (1044334401).

The spelling of 1042122000 in words is "one billion, forty-two million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 173687 347374 521061 694748 868435 1042122 1389496 1736870 2084244 2605305 2778992 3473740 4168488 4342175 5210610 6947480 8336976 8684350 10421220 13026525 13894960 17368700 20842440 21710875 26053050 34737400 41684880 43421750 52106100 65132625 69474800 86843500 104212200 130265250 173687000 208424400 260530500 347374000 521061000 1042122000