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122212110020 = 2257111324797103
BaseRepresentation
bin111000111010001101…
…0001100111011000100
3102200110011122102222012
41301310122030323010
54000242300010040
6132050553353352
711554346536520
oct1616432147304
9380404572865
10122212110020
1147914606120
121b828708858
13b6a8598b00
145cb5056d80
1532a42b5865
hex1c7468cec4

122212110020 has 576 divisors, whose sum is σ = 360970960896. Its totient is φ = 33728348160.

The previous prime is 122212110017. The next prime is 122212110029. The reversal of 122212110020 is 20011212221.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 122212109977 and 122212110004.

It is not an unprimeable number, because it can be changed into a prime (122212110029) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1186525289 + ... + 1186525391.

It is an arithmetic number, because the mean of its divisors is an integer number (626685696).

Almost surely, 2122212110020 is an apocalyptic number.

122212110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122212110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180485480448).

122212110020 is an abundant number, since it is smaller than the sum of its proper divisors (238758850876).

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

122212110020 is a wasteful number, since it uses less digits than its factorization.

122212110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122212110020 its reverse (20011212221), we get a palindrome (142223322241).

It can be divided in two parts, 122212 and 110020, that added together give a palindrome (232232).

The spelling of 122212110020 in words is "one hundred twenty-two billion, two hundred twelve million, one hundred ten thousand, twenty".