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20122121222120 = 235503053030553
BaseRepresentation
bin1001001001101000010111…
…11000110011011111101000
32122020122201020002100212102
410210310023320303133220
510114140101013101440
6110443550323432532
74144526631210221
oct444641370633750
978218636070772
1020122121222120
11645881a935795
12230b975825748
13b2c67aaa9708
144d7cb71b6248
1524d651196b15
hex124d0be337e8

20122121222120 has 16 divisors (see below), whose sum is σ = 45274772749860. Its totient is φ = 8048848488832.

The previous prime is 20122121222111. The next prime is 20122121222173. The reversal of 20122121222120 is 2122212122102.

It can be written as a sum of positive squares in 2 ways, for example, as 20064110572804 + 58010649316 = 4479298^2 + 240854^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20122121222092 and 20122121222101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 251526515237 + ... + 251526515316.

Almost surely, 220122121222120 is an apocalyptic number.

20122121222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122121222120 is an abundant number, since it is smaller than the sum of its proper divisors (25152651527740).

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

20122121222120 is a wasteful number, since it uses less digits than its factorization.

20122121222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503053030564 (or 503053030560 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 20122121222120 its reverse (2122212122102), we get a palindrome (22244333344222).

The spelling of 20122121222120 in words is "twenty trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 503053030553 1006106061106 2012212122212 2515265152765 4024424244424 5030530305530 10061060611060 20122121222120