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122011222120 = 2353050280553
BaseRepresentation
bin111000110100001101…
…1111000000001101000
3102122221011122021120121
41301220123320001220
53444334333101440
6132015015533024
711546360163514
oct1615033700150
9378834567517
10122011222120
1147821177067
121b79138a174
13b675a90628
145c964c3144
15329183334a
hex1c686f8068

122011222120 has 16 divisors (see below), whose sum is σ = 274525249860. Its totient is φ = 48804488832.

The previous prime is 122011222117. The next prime is 122011222127. The reversal of 122011222120 is 21222110221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 120615900804 + 1395321316 = 347298^2 + 37354^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122011222094 and 122011222103.

It is not an unprimeable number, because it can be changed into a prime (122011222127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1525140237 + ... + 1525140316.

Almost surely, 2122011222120 is an apocalyptic number.

122011222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122011222120 is an abundant number, since it is smaller than the sum of its proper divisors (152514027740).

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

122011222120 is a wasteful number, since it uses less digits than its factorization.

122011222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3050280564 (or 3050280560 counting only the distinct ones).

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

Adding to 122011222120 its reverse (21222110221), we get a palindrome (143233332341).

It can be divided in two parts, 12201 and 1222120, that added together give a palindrome (1234321).

The spelling of 122011222120 in words is "one hundred twenty-two billion, eleven million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 3050280553 6100561106 12201122212 15251402765 24402244424 30502805530 61005611060 122011222120