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20211222120 = 2335168426851
BaseRepresentation
bin10010110100101011…
…101100011001101000
31221011112222110112020
4102310223230121220
5312343033101440
613141312344440
71313565360555
oct226453543150
957145873466
1020211222120
118631787361
123b00845120
131ba1390b3b
14d9a389a2c
157d45903d0
hex4b4aec668

20211222120 has 32 divisors (see below), whose sum is σ = 60633666720. Its totient is φ = 5389659200.

The previous prime is 20211222113. The next prime is 20211222121. The reversal of 20211222120 is 2122211202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20211222120.

It is not an unprimeable number, because it can be changed into a prime (20211222121) 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 7 ways as a sum of consecutive naturals, for example, 84213306 + ... + 84213545.

It is an arithmetic number, because the mean of its divisors is an integer number (1894802085).

Almost surely, 220211222120 is an apocalyptic number.

20211222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20211222120 is an abundant number, since it is smaller than the sum of its proper divisors (40422444600).

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

20211222120 is a wasteful number, since it uses less digits than its factorization.

20211222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168426865 (or 168426861 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20211222120 its reverse (2122211202), we get a palindrome (22333433322).

The spelling of 20211222120 in words is "twenty billion, two hundred eleven million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 168426851 336853702 505280553 673707404 842134255 1010561106 1347414808 1684268510 2021122212 2526402765 3368537020 4042244424 5052805530 6737074040 10105611060 20211222120