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122221002022020 = 223251161727778799
BaseRepresentation
bin11011110010100011001011…
…011010001101110010000100
3121000202012202202220211110100
4123302203023122031302010
5112004432103004201040
61111535315254124100
734513114236655146
oct3362431332156204
9530665682824410
10122221002022020
1135a416aa38a190
121185b2ba350630
135327511152475
142227756ddcc96
15e1e3ae7a3b30
hex6f28cb68dc84

122221002022020 has 72 divisors (see below), whose sum is σ = 404440406697600. Its totient is φ = 29629333823040.

The previous prime is 122221002021991. The next prime is 122221002022033. The reversal of 122221002022020 is 20220200122221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122221002021984 and 122221002022002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30863887420 + ... + 30863891379.

It is an arithmetic number, because the mean of its divisors is an integer number (5617227870800).

Almost surely, 2122221002022020 is an apocalyptic number.

122221002022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122221002022020 is an abundant number, since it is smaller than the sum of its proper divisors (282219404675580).

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

122221002022020 is a wasteful number, since it uses less digits than its factorization.

122221002022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61727778825 (or 61727778820 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 122221002022020 its reverse (20220200122221), we get a palindrome (142441202144241).

The spelling of 122221002022020 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, two million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 61727778799 123455557598 185183336397 246911115196 308638893995 370366672794 555550009191 617277787990 679005566789 740733345588 925916681985 1111100018382 1234555575980 1358011133578 1851833363970 2037016700367 2222200036764 2716022267156 2777750045955 3395027833945 3703666727940 4074033400734 5555500091910 6111050101101 6790055667890 8148066801468 10185083501835 11111000183820 12222100202202 13580111335780 20370167003670 24444200404404 30555250505505 40740334007340 61110501011010 122221002022020