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122022110221020 = 22325677900612339
BaseRepresentation
bin11011101111101001111100…
…100010001101001011011100
3121000001012101122220111012100
4123233221330202031023130
5111443202240204033040
61111304103352405100
734462543433363052
oct3357517442151334
9530035348814170
10122022110221020
1135975317123329
12118288519a6790
1353118355c4b59
14221bc8a1921d2
15e1911d784b30
hex6efa7c88d2dc

122022110221020 has 36 divisors (see below), whose sum is σ = 370133734337640. Its totient is φ = 32539229392224.

The previous prime is 122022110221019. The next prime is 122022110221027. The reversal of 122022110221020 is 20122011220221.

It is a happy number.

122022110221020 is a `hidden beast` number, since 1 + 220 + 2 + 211 + 0 + 2 + 210 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×1220221102210203 (a number of 43 digits) contains 333 as substring.

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 = 122022110220984 and 122022110221002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122022110221027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 338950305990 + ... + 338950306349.

It is an arithmetic number, because the mean of its divisors is an integer number (10281492620490).

Almost surely, 2122022110221020 is an apocalyptic number.

122022110221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122022110221020 is an abundant number, since it is smaller than the sum of its proper divisors (248111624116620).

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

122022110221020 is a wasteful number, since it uses less digits than its factorization.

122022110221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677900612354 (or 677900612349 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122022110221020 its reverse (20122011220221), we get a palindrome (142144121441241).

The spelling of 122022110221020 in words is "one hundred twenty-two trillion, twenty-two billion, one hundred ten million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 677900612339 1355801224678 2033701837017 2711602449356 3389503061695 4067403674034 6101105511051 6779006123390 8134807348068 10168509185085 12202211022102 13558012246780 20337018370170 24404422044204 30505527555255 40674036740340 61011055110510 122022110221020