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122212011000020 = 2256110600550001
BaseRepresentation
bin11011110010011010110011…
…100000001100000011010100
3121000201100120011201120221112
4123302122303200030003110
5112004310144304000040
61111531231153234152
734512345363356054
oct3362326340140324
9530640504646845
10122212011000020
1135a38906170297
121185960b262958
13532670a4c67c6
142227142c83564
15e1e03529c365
hex6f26b380c0d4

122212011000020 has 12 divisors (see below), whose sum is σ = 256645223100084. Its totient is φ = 48884804400000.

The previous prime is 122212010999933. The next prime is 122212011000029. The reversal of 122212011000020 is 20000110212221.

It can be written as a sum of positive squares in 2 ways, for example, as 90536861587396 + 31675149412624 = 9515086^2 + 5628068^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122212010999959 and 122212011000004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122212011000029) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3055300274981 + ... + 3055300275020.

It is an arithmetic number, because the mean of its divisors is an integer number (21387101925007).

Almost surely, 2122212011000020 is an apocalyptic number.

122212011000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122212011000020 is an abundant number, since it is smaller than the sum of its proper divisors (134433212100064).

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

122212011000020 is a wasteful number, since it uses less digits than its factorization.

122212011000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6110600550010 (or 6110600550008 counting only the distinct ones).

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

Adding to 122212011000020 its reverse (20000110212221), we get a palindrome (142212121212241).

The spelling of 122212011000020 in words is "one hundred twenty-two trillion, two hundred twelve billion, eleven million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 6110600550001 12221201100002 24442402200004 30553002750005 61106005500010 122212011000020