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122200112102020 = 225431011406862907
BaseRepresentation
bin11011110010001111101110…
…010001011111101010000100
3121000200012211220211221110121
4123302033232101133222010
5112004111312144231040
61111521542334431324
734511444460404251
oct3362175621375204
9530605756757417
10122200112102020
1135a3385a593097
121185724a362544
1353255622a0264
142226734862428
15e1da8a84cc4a
hex6f23ee45fa84

122200112102020 has 48 divisors (see below), whose sum is σ = 265188030706368. Its totient is φ = 47270593641600.

The previous prime is 122200112101997. The next prime is 122200112102027. The reversal of 122200112102020 is 20201211002221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122200112101985 and 122200112102003.

It is not an unprimeable number, because it can be changed into a prime (122200112102027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703344594 + ... + 703518313.

It is an arithmetic number, because the mean of its divisors is an integer number (5524750639716).

Almost surely, 2122200112102020 is an apocalyptic number.

122200112102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122200112102020 is an abundant number, since it is smaller than the sum of its proper divisors (142987918604348).

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

122200112102020 is a wasteful number, since it uses less digits than its factorization.

122200112102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406863060 (or 1406863058 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122200112102020 its reverse (20201211002221), we get a palindrome (142401323104241).

The spelling of 122200112102020 in words is "one hundred twenty-two trillion, two hundred billion, one hundred twelve million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 101 172 202 215 404 430 505 860 1010 2020 4343 8686 17372 21715 43430 86860 1406862907 2813725814 5627451628 7034314535 14068629070 28137258140 60495105001 120990210002 142093153607 241980420004 284186307214 302475525005 568372614428 604951050010 710465768035 1209902100020 1420931536070 2841863072140 6110005605101 12220011210202 24440022420404 30550028025505 61100056051010 122200112102020