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22122000201220 = 2251106100010061
BaseRepresentation
bin1010000011110101011011…
…11101101011011000000100
32220022211202020012201100221
411001322231331223120010
510344421324022414340
6115014412342514124
74442155534102543
oct501725575533004
986284666181327
1022122000201220
1170599844377a7
122593485135944
13c4613224a28a
145669d396215a
1528569d71b44a
hex141eadf6b604

22122000201220 has 12 divisors (see below), whose sum is σ = 46456200422604. Its totient is φ = 8848800080480.

The previous prime is 22122000201193. The next prime is 22122000201229. The reversal of 22122000201220 is 2210200022122.

It can be written as a sum of positive squares in 2 ways, for example, as 6536448995904 + 15585551205316 = 2556648^2 + 3947854^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22122000201194 and 22122000201203.

It is not an unprimeable number, because it can be changed into a prime (22122000201229) by changing a digit.

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, 553050005011 + ... + 553050005050.

It is an arithmetic number, because the mean of its divisors is an integer number (3871350035217).

Almost surely, 222122000201220 is an apocalyptic number.

22122000201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22122000201220 is an abundant number, since it is smaller than the sum of its proper divisors (24334200221384).

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

22122000201220 is a wasteful number, since it uses less digits than its factorization.

22122000201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106100010070 (or 1106100010068 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22122000201220 its reverse (2210200022122), we get a palindrome (24332200223342).

The spelling of 22122000201220 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 1106100010061 2212200020122 4424400040244 5530500050305 11061000100610 22122000201220