Search a number
-
+
122020001101220 = 22521784612800601
BaseRepresentation
bin11011101111100111111110…
…110100100011010110100100
3121000000222221200020002202012
4123233213332310203112210
5111443133430240214340
61111303114210533352
734462440243223535
oct3357477664432644
9530028850202665
10122020001101220
1135974434626412
1211828363597258
13531158a662c81
14221bb2a01068c
15e1904851a565
hex6ef9fed235a4

122020001101220 has 24 divisors (see below), whose sum is σ = 256242211433208. Its totient is φ = 48807960608000.

The previous prime is 122020001101171. The next prime is 122020001101231. The reversal of 122020001101220 is 22101100020221.

It can be written as a sum of positive squares in 4 ways, for example, as 11661446392996 + 110358554708224 = 3414886^2 + 10505168^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122020001101195 and 122020001101204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42168920 + ... + 44969520.

It is an arithmetic number, because the mean of its divisors is an integer number (10676758809717).

Almost surely, 2122020001101220 is an apocalyptic number.

122020001101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122020001101220 is an abundant number, since it is smaller than the sum of its proper divisors (134222210331988).

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

122020001101220 is a wasteful number, since it uses less digits than its factorization.

122020001101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4979071 (or 4979069 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122020001101220 its reverse (22101100020221), we get a palindrome (144121101121441).

It can be divided in two parts, 122020001 and 101220, that added together give a palindrome (122121221).

The spelling of 122020001101220 in words is "one hundred twenty-two trillion, twenty billion, one million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 2178461 2800601 4356922 5601202 8713844 10892305 11202404 14003005 21784610 28006010 43569220 56012020 6101000055061 12202000110122 24404000220244 30505000275305 61010000550610 122020001101220