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122020000020 = 223351713291939
BaseRepresentation
bin111000110100011110…
…1010111000100010100
3102122221210011020121000
41301220331113010110
53444344110000040
6132015532023300
711546524613202
oct1615075270424
9378853136530
10122020000020
1147826122026
121b794301b30
13b677844b59
145c9772a072
1532924b9130
hex1c68f57114

122020000020 has 96 divisors (see below), whose sum is σ = 401948265600. Its totient is φ = 30624625152.

The previous prime is 122020000019. The next prime is 122020000021. The reversal of 122020000020 is 20000020221.

122020000020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (122020000019) and next prime (122020000021).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 122019999957 and 122020000011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122020000021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6636790 + ... + 6655149.

It is an arithmetic number, because the mean of its divisors is an integer number (4186961100).

Almost surely, 2122020000020 is an apocalyptic number.

122020000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122020000020 is an abundant number, since it is smaller than the sum of its proper divisors (279928265580).

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

122020000020 is a wasteful number, since it uses less digits than its factorization.

122020000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13291974 (or 13291966 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 122020000020 its reverse (20000020221), we get a palindrome (142020020241).

The spelling of 122020000020 in words is "one hundred twenty-two billion, twenty million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 4590 9180 13291939 26583878 39875817 53167756 66459695 79751634 119627451 132919390 159503268 199379085 225962963 239254902 265838780 358882353 398758170 451925926 478509804 598137255 677888889 717764706 797516340 903851852 1129814815 1196274510 1355777778 1435529412 1794411765 2033666667 2259629630 2392549020 2711555556 3389444445 3588823530 4067333334 4519259260 6101000001 6778888890 7177647060 8134666668 10168333335 12202000002 13557777780 20336666670 24404000004 30505000005 40673333340 61010000010 122020000020