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122022120220 = 2257111321393373
BaseRepresentation
bin111000110100100010…
…1011100101100011100
3102122221221010221221221
41301221011130230130
53444400130321340
6132020045303124
711546551623430
oct1615105345434
9378857127857
10122022120220
114782733aa60
121b794b64aa4
13b678107c00
145c97b1c9c0
15329278744a
hex1c6915cb1c

122022120220 has 288 divisors, whose sum is σ = 348533660160. Its totient is φ = 34844359680.

The previous prime is 122022120203. The next prime is 122022120221. The reversal of 122022120220 is 22021220221.

It is a junction number, because it is equal to n+sod(n) for n = 122022120194 and 122022120203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122022120221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36174454 + ... + 36177826.

It is an arithmetic number, because the mean of its divisors is an integer number (1210186320).

Almost surely, 2122022120220 is an apocalyptic number.

122022120220 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 122022120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174266830080).

122022120220 is an abundant number, since it is smaller than the sum of its proper divisors (226511539940).

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

122022120220 is a wasteful number, since it uses less digits than its factorization.

122022120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3565 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 122022120220 its reverse (22021220221), we get a palindrome (144043340441).

It can be divided in two parts, 122022 and 120220, that added together give a palindrome (242242).

The spelling of 122022120220 in words is "one hundred twenty-two billion, twenty-two million, one hundred twenty thousand, two hundred twenty".