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20122121120020 = 22571109130004659
BaseRepresentation
bin1001001001101000010111…
…11000011010100100010100
32122020122201012220011210221
410210310023320122210110
510114140101001320040
6110443550321324124
74144526630303443
oct444641370324424
978218635804727
1020122121120020
11645881a876007
12230b975796644
13b2c67aa720ba
144d7cb718ad5a
1524d65117674a
hex124d0be1a914

20122121120020 has 48 divisors (see below), whose sum is σ = 43244750102400. Its totient is φ = 7862681715840.

The previous prime is 20122121119999. The next prime is 20122121120033. The reversal of 20122121120020 is 2002112122102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20122121119976 and 20122121120003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64847550 + ... + 65157109.

It is an arithmetic number, because the mean of its divisors is an integer number (900932293800).

Almost surely, 220122121120020 is an apocalyptic number.

20122121120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122121120020 is an abundant number, since it is smaller than the sum of its proper divisors (23122628982380).

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

20122121120020 is a wasteful number, since it uses less digits than its factorization.

20122121120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130004848 (or 130004846 counting only the distinct ones).

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

Adding to 20122121120020 its reverse (2002112122102), we get a palindrome (22124233242122).

The spelling of 20122121120020 in words is "twenty trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 71 109 142 218 284 355 436 545 710 1090 1420 2180 7739 15478 30956 38695 77390 154780 130004659 260009318 520018636 650023295 1300046590 2600093180 9230330789 14170507831 18460661578 28341015662 36921323156 46151653945 56682031324 70852539155 92303307890 141705078310 184606615780 283410156620 1006106056001 2012212112002 4024424224004 5030530280005 10061060560010 20122121120020