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122011010020 = 2256100550501
BaseRepresentation
bin111000110100001101…
…1000100001111100100
3102122221011020111122001
41301220123010033210
53444334304310040
6132015011215044
711546355321244
oct1615033041744
9378834214561
10122011010020
1147821041779
121b7912a7484
13b675a17c23
145c96469b24
1532917e059a
hex1c686c43e4

122011010020 has 12 divisors (see below), whose sum is σ = 256223121084. Its totient is φ = 48804404000.

The previous prime is 122011009999. The next prime is 122011010021. The reversal of 122011010020 is 20010110221.

It can be written as a sum of positive squares in 2 ways, for example, as 80081076196 + 41929933824 = 282986^2 + 204768^2 .

It is a super-2 number, since 2×1220110100202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 122011009979 and 122011010006.

It is not an unprimeable number, because it can be changed into a prime (122011010021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3050275231 + ... + 3050275270.

It is an arithmetic number, because the mean of its divisors is an integer number (21351926757).

Almost surely, 2122011010020 is an apocalyptic number.

122011010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122011010020 is an abundant number, since it is smaller than the sum of its proper divisors (134212111064).

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

122011010020 is a wasteful number, since it uses less digits than its factorization.

122011010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6100550510 (or 6100550508 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 122011010020 its reverse (20010110221), we get a palindrome (142021120241).

The spelling of 122011010020 in words is "one hundred twenty-two billion, eleven million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 6100550501 12201101002 24402202004 30502752505 61005505010 122011010020